Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590bg |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-3287790 = -1 · 2 · 36 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7,-89] |
[a1,a2,a3,a4,a6] |
j |
59319/4510 |
j-invariant |
L |
2.3946072474688 |
L(r)(E,1)/r! |
Ω |
1.1973036237358 |
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 |
4510e1 |
Quadratic twists by: -3 |