Atkin-Lehner |
3+ 5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495c |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
11488785 = 3 · 5 · 74 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-116,404] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] |
Generators of the group modulo torsion |
j |
172715635009/11488785 |
j-invariant |
L |
2.3455032658928 |
L(r)(E,1)/r! |
Ω |
2.2240320094596 |
Real period |
R |
2.1092351692031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485t1 |
Quadratic twists by: -3 |