Atkin-Lehner |
2+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38710h |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-195261015871250 = -1 · 2 · 54 · 711 · 79 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -3 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14495,-32425] |
[a1,a2,a3,a4,a6] |
j |
2862683122599/1659691250 |
j-invariant |
L |
1.3439916115976 |
L(r)(E,1)/r! |
Ω |
0.33599790290441 |
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 |
5530g1 |
Quadratic twists by: -7 |