Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424cg |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
325281216 = 26 · 3 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172,130] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:245:8] |
Generators of the group modulo torsion |
j |
8844058432/5082519 |
j-invariant |
L |
6.129569319389 |
L(r)(E,1)/r! |
Ω |
1.4640281410688 |
Real period |
R |
4.1867838106631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424cw1 23712q3 |
Quadratic twists by: -4 8 |