Atkin-Lehner |
2- 5+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
85840g |
Isogeny class |
Conductor |
85840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
6815867680000 = 28 · 54 · 292 · 373 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 5 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37768,-2822308] |
[a1,a2,a3,a4,a6] |
j |
23273178961895424/26624483125 |
j-invariant |
L |
8.2197693290125 |
L(r)(E,1)/r! |
Ω |
0.34249038946114 |
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 |
21460d1 |
Quadratic twists by: -4 |