Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872bf |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-56103596752896 = -1 · 215 · 33 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9032,-485904] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2288:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
3.4567828839435 |
L(r)(E,1)/r! |
Ω |
0.2376046455879 |
Real period |
R |
3.6371162644889 |
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 |
3234i1 103488gy1 77616el1 25872cy1 |
Quadratic twists by: -4 8 -3 -7 |