Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462i |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-7752704772384 = -1 · 25 · 33 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11+ 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3913818,2981203668] |
[a1,a2,a3,a4,a6] |
Generators |
[1459121886915:-736304938788:1277289125] |
Generators of the group modulo torsion |
j |
-301033668253851/352 |
j-invariant |
L |
5.0694518510853 |
L(r)(E,1)/r! |
Ω |
0.46935461593748 |
Real period |
R |
16.201348657112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33462cd2 33462cc1 |
Quadratic twists by: -3 13 |