Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400w |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1622383084800 = 28 · 314 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3900,-70940] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:94:1] |
Generators of the group modulo torsion |
j |
1406080000/347733 |
j-invariant |
L |
8.0416186438208 |
L(r)(E,1)/r! |
Ω |
0.61506435363939 |
Real period |
R |
3.268608637892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800m1 95400r1 |
Quadratic twists by: -3 5 |