Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312j |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
47742976 = 215 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,116] |
[a1,a2,a3,a4,a6] |
Generators |
[10:16:1] |
Generators of the group modulo torsion |
j |
24137569/11656 |
j-invariant |
L |
4.9533894980911 |
L(r)(E,1)/r! |
Ω |
1.7907228301927 |
Real period |
R |
0.69153492301738 |
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 |
2914g1 93248bb1 |
Quadratic twists by: -4 8 |