Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256p |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
644096 = 210 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 -2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-837,9605] |
[a1,a2,a3,a4,a6] |
Generators |
[7422:30725:216] |
Generators of the group modulo torsion |
j |
63404326912/629 |
j-invariant |
L |
8.8544485132435 |
L(r)(E,1)/r! |
Ω |
2.6030894436793 |
Real period |
R |
6.8030305564347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40256bb1 2516b1 |
Quadratic twists by: -4 8 |