Atkin-Lehner |
5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122815f |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-53305694732675 = -1 · 52 · 73 · 118 · 29 |
Discriminant |
Eigenvalues |
2 -1 5+ 7+ 11- 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20126,-1147059] |
[a1,a2,a3,a4,a6] |
Generators |
[2390478:251445907:216] |
Generators of the group modulo torsion |
j |
-508934139904/30089675 |
j-invariant |
L |
9.6652583780961 |
L(r)(E,1)/r! |
Ω |
0.19972958659096 |
Real period |
R |
12.097930283775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999186336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165c1 |
Quadratic twists by: -11 |