Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235y |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-233312805 = -1 · 36 · 5 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-518,4722] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-18:1] [6:39:1] |
Generators of the group modulo torsion |
j |
-173945761/2645 |
j-invariant |
L |
7.6837865376579 |
L(r)(E,1)/r! |
Ω |
1.7673808644366 |
Real period |
R |
2.1737777890785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915f1 125235v1 |
Quadratic twists by: -3 -11 |