Atkin-Lehner |
2+ 3- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
94128d |
Isogeny class |
Conductor |
94128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
10448208 = 24 · 32 · 372 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171,792] |
[a1,a2,a3,a4,a6] |
Generators |
[1980:6006:125] |
Generators of the group modulo torsion |
j |
34763966464/653013 |
j-invariant |
L |
12.357164276011 |
L(r)(E,1)/r! |
Ω |
2.2851683831779 |
Real period |
R |
5.4075508645211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47064a1 |
Quadratic twists by: -4 |