Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82418g |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2338560 |
Modular degree for the optimal curve |
Δ |
-3.6912909077555E+20 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 1 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1319547,-1093202106] |
[a1,a2,a3,a4,a6] |
Generators |
[170809782:11279875109:35937] |
Generators of the group modulo torsion |
j |
-4317433/6272 |
j-invariant |
L |
3.6834213932146 |
L(r)(E,1)/r! |
Ω |
0.066931930598764 |
Real period |
R |
9.1720582369574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774e1 82418n1 |
Quadratic twists by: -7 29 |