Atkin-Lehner |
3- 5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495o |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-12164796598185 = -1 · 33 · 5 · 710 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3720,-142983] |
[a1,a2,a3,a4,a6] |
Generators |
[4545:22938:125] |
Generators of the group modulo torsion |
j |
5693053107530879/12164796598185 |
j-invariant |
L |
4.6031906231082 |
L(r)(E,1)/r! |
Ω |
0.37067026831895 |
Real period |
R |
2.0697598452232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100485g1 |
Quadratic twists by: -3 |