Atkin-Lehner |
2- 11- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656t |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2.5274815314254E+19 |
Discriminant |
Eigenvalues |
2- 0 0 2 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83271775,-292479006054] |
[a1,a2,a3,a4,a6] |
Generators |
[21413452040251892653327855482669730417953173618210922732050700873808723422669000046906975440623390824812390476591577193781502192244963705742974915577256985490880:2262219828849076318939160672432264811274684938381076143875763457868281035601521866973726215123372799001590804166481240074226479131807410906937480827144714034911217:1255873234009794172065249810420091958810692092393384712253658134389087047499659627894773620577350714302202370502921948416189793613871749559252710917528092672] |
Generators of the group modulo torsion |
j |
249446384157494472599250000/98729747321303923 |
j-invariant |
L |
6.2380484874342 |
L(r)(E,1)/r! |
Ω |
0.049977566933818 |
Real period |
R |
249.63394059158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32164a2 |
Quadratic twists by: -4 |