Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bc |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1116209808000000 = 210 · 38 · 56 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42642,2994516] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1878:1] |
Generators of the group modulo torsion |
j |
752825955673/97993728 |
j-invariant |
L |
4.8168326784848 |
L(r)(E,1)/r! |
Ω |
0.47147184872063 |
Real period |
R |
2.5541464928527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550ch1 3906v1 |
Quadratic twists by: -3 5 |