Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cl |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4685538150 = -1 · 2 · 311 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,418,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[126:743:8] |
Generators of the group modulo torsion |
j |
20991479/12150 |
j-invariant |
L |
10.012707968561 |
L(r)(E,1)/r! |
Ω |
0.82136970054382 |
Real period |
R |
1.5237821595319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870n1 47610bx1 |
Quadratic twists by: -3 -23 |