Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bt |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
1.5822055063004E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21048499,-37170998578] |
[a1,a2,a3,a4,a6] |
Generators |
[-568146:314171:216] |
Generators of the group modulo torsion |
j |
13353866478112073728/2048720886693 |
j-invariant |
L |
9.5983010967941 |
L(r)(E,1)/r! |
Ω |
0.070485253867734 |
Real period |
R |
4.2554561595936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048j1 |
Quadratic twists by: 13 |