Atkin-Lehner |
5+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
56425a |
Isogeny class |
Conductor |
56425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
2151203125 = 56 · 37 · 612 |
Discriminant |
Eigenvalues |
0 -1 5+ 3 -3 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-383,-1707] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] |
Generators of the group modulo torsion |
j |
398688256/137677 |
j-invariant |
L |
3.8786146905035 |
L(r)(E,1)/r! |
Ω |
1.1093599728476 |
Real period |
R |
0.87406585452395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2257a1 |
Quadratic twists by: 5 |