Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256q |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-20611072 = -1 · 215 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 2 2 3 2 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[41:264:1] |
Generators of the group modulo torsion |
j |
830584/629 |
j-invariant |
L |
10.806621557085 |
L(r)(E,1)/r! |
Ω |
1.2058223108264 |
Real period |
R |
2.240508709297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256s1 20128i1 |
Quadratic twists by: -4 8 |