Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958b |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-23479888659731712 = -1 · 28 · 32 · 139 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 1 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38870,-6740396] |
[a1,a2,a3,a4,a6] |
j |
6758129171780375/24432766555392 |
j-invariant |
L |
0.77246288943021 |
L(r)(E,1)/r! |
Ω |
0.19311572492214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958l1 |
Quadratic twists by: -31 |