Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320i |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-202356280000 = -1 · 26 · 54 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -1 -5 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301538,-63732538] |
[a1,a2,a3,a4,a6] |
Generators |
[661:5075:1] |
Generators of the group modulo torsion |
j |
-47377254305064162816/3161816875 |
j-invariant |
L |
4.4673030156909 |
L(r)(E,1)/r! |
Ω |
0.10186712395868 |
Real period |
R |
3.6545181367126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320a1 48160k1 |
Quadratic twists by: -4 8 |