Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728dv |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
96589584 = 24 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-777,8323] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:113:1] [18:13:1] |
Generators of the group modulo torsion |
j |
90770176/169 |
j-invariant |
L |
11.847532525783 |
L(r)(E,1)/r! |
Ω |
1.8988556128621 |
Real period |
R |
3.1196507112433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932m1 10192s1 91728dp1 |
Quadratic twists by: -4 -3 -7 |