Atkin-Lehner |
2+ 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314a |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-8787736832 = -1 · 28 · 74 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 1 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,464,-2306] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1555:1] |
Generators of the group modulo torsion |
j |
4615622375/3660032 |
j-invariant |
L |
5.470136231068 |
L(r)(E,1)/r! |
Ω |
0.72419477413906 |
Real period |
R |
0.62945039401254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314m1 |
Quadratic twists by: -7 |