Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440j |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1705782074882000 = 24 · 53 · 318 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30111,300010] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:961:1] |
Generators of the group modulo torsion |
j |
212629504/120125 |
j-invariant |
L |
1.1828089827686 |
L(r)(E,1)/r! |
Ω |
0.40692810809567 |
Real period |
R |
1.4533390041576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880f1 1240d1 |
Quadratic twists by: -4 -31 |