Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cd |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
9531332163313920 = 28 · 37 · 5 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59612,3067679] |
[a1,a2,a3,a4,a6] |
Generators |
[219:583:1] |
Generators of the group modulo torsion |
j |
217081801/88320 |
j-invariant |
L |
10.877646655794 |
L(r)(E,1)/r! |
Ω |
0.37112452212047 |
Real period |
R |
3.6637455919242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15870j1 2070n1 |
Quadratic twists by: -3 -23 |