Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600g |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-809200 = -1 · 24 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -3 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-755,7985] |
[a1,a2,a3,a4,a6] |
Generators |
[16:1:1] |
Generators of the group modulo torsion |
j |
-118988386560/2023 |
j-invariant |
L |
4.903158620659 |
L(r)(E,1)/r! |
Ω |
2.5932360963162 |
Real period |
R |
0.9453745124885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23800a1 47600i1 |
Quadratic twists by: -4 5 |