Atkin-Lehner |
3- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56763l |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
849600 |
Modular degree for the optimal curve |
Δ |
32184621 = 36 · 72 · 17 · 53 |
Discriminant |
Eigenvalues |
2 3- 3 7+ 2 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3071451,2071874763] |
[a1,a2,a3,a4,a6] |
Generators |
[162895029792:-80335153:160989184] |
Generators of the group modulo torsion |
j |
4395688995422533685248/44149 |
j-invariant |
L |
15.977991253868 |
L(r)(E,1)/r! |
Ω |
0.71039519059138 |
Real period |
R |
11.245847005641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307c1 |
Quadratic twists by: -3 |