Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590bh |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-16894462415339520 = -1 · 220 · 310 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23512,-6103573] |
[a1,a2,a3,a4,a6] |
j |
1971887888896199/23174845562880 |
j-invariant |
L |
3.8361685586078 |
L(r)(E,1)/r! |
Ω |
0.19180842792986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530k1 |
Quadratic twists by: -3 |