Atkin-Lehner |
2- 3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
80106r |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2999808 |
Modular degree for the optimal curve |
Δ |
5790565673627904 = 28 · 33 · 139 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16500234,25790960151] |
[a1,a2,a3,a4,a6] |
j |
102928089027210685993/1199667456 |
j-invariant |
L |
0.60027596615932 |
L(r)(E,1)/r! |
Ω |
0.3001380021086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6162a1 |
Quadratic twists by: 13 |