Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930i |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
15516939260160 = 28 · 38 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17145,847341] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7305:8] |
Generators of the group modulo torsion |
j |
764579942079121/21285239040 |
j-invariant |
L |
4.7659027144858 |
L(r)(E,1)/r! |
Ω |
0.69628254421801 |
Real period |
R |
3.4223913510847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310m1 |
Quadratic twists by: -3 |