Atkin-Lehner |
2+ 3- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954l |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
5392141663049551872 = 212 · 33 · 72 · 11 · 676 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6416581,6254566256] |
[a1,a2,a3,a4,a6] |
j |
29216935227878689198839625/5392141663049551872 |
j-invariant |
L |
1.8726876999003 |
L(r)(E,1)/r! |
Ω |
0.23408596248791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
92862ca1 |
Quadratic twists by: -3 |