Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786cb |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-91341606061279728 = -1 · 24 · 34 · 77 · 112 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15091,-14517133] |
[a1,a2,a3,a4,a6] |
Generators |
[1798:3409:8] [2190:24479:8] |
Generators of the group modulo torsion |
j |
3230633786687/776390841072 |
j-invariant |
L |
12.731248119358 |
L(r)(E,1)/r! |
Ω |
0.1594947518488 |
Real period |
R |
4.9888977421893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000884 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398bf1 |
Quadratic twists by: -7 |