Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640ch |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
77137504930304000 = 212 · 53 · 74 · 137 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135707,-13845494] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:1690:1] |
Generators of the group modulo torsion |
j |
13980103929/3901625 |
j-invariant |
L |
5.5202913266124 |
L(r)(E,1)/r! |
Ω |
0.25398863646626 |
Real period |
R |
0.905600115877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5915k1 7280q1 |
Quadratic twists by: -4 13 |