Atkin-Lehner |
2- 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010p |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
41418000 = 24 · 33 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53931,4816161] |
[a1,a2,a3,a4,a6] |
j |
17347609394908926769/41418000 |
j-invariant |
L |
4.0029459693406 |
L(r)(E,1)/r! |
Ω |
1.3343153231136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030p1 115050h1 |
Quadratic twists by: -3 5 |