Atkin-Lehner |
2+ 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
91512b |
Isogeny class |
Conductor |
91512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
8785152 = 28 · 33 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -2 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [-2:2:1] |
Generators of the group modulo torsion |
j |
3456000/1271 |
j-invariant |
L |
10.424445499004 |
L(r)(E,1)/r! |
Ω |
1.7683877748809 |
Real period |
R |
0.73686083212926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91512e1 |
Quadratic twists by: -3 |