Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
74022r |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
23186695461067008 = 28 · 32 · 1310 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 0 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7343476,7656440501] |
[a1,a2,a3,a4,a6] |
Generators |
[1265:19197:1] |
Generators of the group modulo torsion |
j |
9073370424655260361/4803731712 |
j-invariant |
L |
12.224895473969 |
L(r)(E,1)/r! |
Ω |
0.31176660322338 |
Real period |
R |
4.9014612796147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5694b1 |
Quadratic twists by: 13 |