Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728br |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
9985876992 = 210 · 37 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,-4214] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:14:1] [-19:36:1] |
Generators of the group modulo torsion |
j |
119164/39 |
j-invariant |
L |
9.6617675399925 |
L(r)(E,1)/r! |
Ω |
0.96984223222996 |
Real period |
R |
1.2452756771705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864u1 30576bb1 91728y1 |
Quadratic twists by: -4 -3 -7 |