Atkin-Lehner |
2+ 3+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
95976a |
Isogeny class |
Conductor |
95976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-575856 = -1 · 24 · 33 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -3 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,35] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [-1:5:1] |
Generators of the group modulo torsion |
j |
186624/1333 |
j-invariant |
L |
9.702494665697 |
L(r)(E,1)/r! |
Ω |
2.1158231859036 |
Real period |
R |
1.146420779629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95976m1 |
Quadratic twists by: -3 |