Atkin-Lehner |
2- 3- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630bo |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
1650688 |
Modular degree for the optimal curve |
Δ |
533867475259883520 = 226 · 38 · 5 · 74 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3612767,-2641928889] |
[a1,a2,a3,a4,a6] |
j |
7153456342594874188969/732328498298880 |
j-invariant |
L |
5.6943687488025 |
L(r)(E,1)/r! |
Ω |
0.1095070913137 |
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 |
21210e1 |
Quadratic twists by: -3 |