Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780z |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3418936158768387840 = 28 · 313 · 5 · 112 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-402087,41430206] |
[a1,a2,a3,a4,a6] |
Generators |
[-565:9394:1] |
Generators of the group modulo torsion |
j |
38522664161702224/18319916831535 |
j-invariant |
L |
8.8048235959122 |
L(r)(E,1)/r! |
Ω |
0.22352421358507 |
Real period |
R |
1.6412881904197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999400234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40260d2 |
Quadratic twists by: -3 |