Atkin-Lehner |
2+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40256i |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-309027738484736 = -1 · 218 · 17 · 375 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 5 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10924,953136] |
[a1,a2,a3,a4,a6] |
j |
-549957165057/1178847269 |
j-invariant |
L |
0.96778751561921 |
L(r)(E,1)/r! |
Ω |
0.48389375779031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256w1 629d1 |
Quadratic twists by: -4 8 |