Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640br |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-3101371976908800 = -1 · 224 · 38 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18256,-2836544] |
[a1,a2,a3,a4,a6] |
Generators |
[186:410:1] [346:-5670:1] |
Generators of the group modulo torsion |
j |
-164287467238609/757170892800 |
j-invariant |
L |
7.6366113121849 |
L(r)(E,1)/r! |
Ω |
0.18613691127486 |
Real period |
R |
5.1283563667479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830ba1 115920es1 |
Quadratic twists by: -4 -3 |