Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320bb |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3444896000 = 28 · 53 · 72 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420,1600] |
[a1,a2,a3,a4,a6] |
Generators |
[30:130:1] [-21:40:1] |
Generators of the group modulo torsion |
j |
14602768/6125 |
j-invariant |
L |
6.9540017489368 |
L(r)(E,1)/r! |
Ω |
1.2738064133767 |
Real period |
R |
0.45493580473391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640bj1 47320k1 |
Quadratic twists by: -4 13 |