Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10478l |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-123497113266176 = -1 · 211 · 137 · 312 |
Discriminant |
Eigenvalues |
2- -1 1 -1 -2 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8700,-430331] |
[a1,a2,a3,a4,a6] |
Generators |
[473:10241:1] |
Generators of the group modulo torsion |
j |
15087533111/25585664 |
j-invariant |
L |
5.6644390324916 |
L(r)(E,1)/r! |
Ω |
0.30909379751407 |
Real period |
R |
0.20824948894774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824n1 94302v1 806b1 |
Quadratic twists by: -4 -3 13 |