Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gn |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
2.1212180206963E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9956213,-11891130469] |
[a1,a2,a3,a4,a6] |
Generators |
[-1975:9562:1] |
Generators of the group modulo torsion |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
7.8033973885136 |
L(r)(E,1)/r! |
Ω |
0.085092009906627 |
Real period |
R |
1.6375965487601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110ba1 13650cu1 |
Quadratic twists by: 5 -7 |