Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82418f |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-3242071774647995156 = -1 · 22 · 716 · 293 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -5 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-297848,-106886006] |
[a1,a2,a3,a4,a6] |
Generators |
[66531:3175339:27] |
Generators of the group modulo torsion |
j |
-1018411856981/1129900996 |
j-invariant |
L |
4.8292646280175 |
L(r)(E,1)/r! |
Ω |
0.097926887770736 |
Real period |
R |
6.1643752013635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774d1 82418u1 |
Quadratic twists by: -7 29 |