Atkin-Lehner |
7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25333d |
Isogeny class |
Conductor |
25333 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-2858753051 = -1 · 76 · 11 · 472 |
Discriminant |
Eigenvalues |
0 -3 -3 7- 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-784,8832] |
[a1,a2,a3,a4,a6] |
Generators |
[18:23:1] [14:-25:1] |
Generators of the group modulo torsion |
j |
-452984832/24299 |
j-invariant |
L |
3.4169081547736 |
L(r)(E,1)/r! |
Ω |
1.4131362073736 |
Real period |
R |
0.60449023543252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
517b1 |
Quadratic twists by: -7 |