Atkin-Lehner |
3+ 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56637b |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23424 |
Modular degree for the optimal curve |
Δ |
3839818689 = 39 · 7 · 29 · 312 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ -4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-393,440] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:46:1] |
Generators of the group modulo torsion |
j |
341532099/195083 |
j-invariant |
L |
3.7074045582473 |
L(r)(E,1)/r! |
Ω |
1.1965060212534 |
Real period |
R |
3.0985256173274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56637a1 |
Quadratic twists by: -3 |