Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
91980p |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2914560 |
Modular degree for the optimal curve |
Δ |
4652704103906250000 = 24 · 37 · 511 · 7 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2797653,-1798112027] |
[a1,a2,a3,a4,a6] |
Generators |
[-987:1291:1] |
Generators of the group modulo torsion |
j |
207614528641966118656/398894384765625 |
j-invariant |
L |
3.9289619184666 |
L(r)(E,1)/r! |
Ω |
0.11674847573608 |
Real period |
R |
5.6088696963956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660t1 |
Quadratic twists by: -3 |