Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322g |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
154752 |
Modular degree for the optimal curve |
Δ |
11707367307792 = 24 · 3 · 139 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 -6 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6087,76965] |
[a1,a2,a3,a4,a6] |
Generators |
[106:745:1] |
Generators of the group modulo torsion |
j |
2352637/1104 |
j-invariant |
L |
2.6741439052115 |
L(r)(E,1)/r! |
Ω |
0.63901478486172 |
Real period |
R |
4.1847919149322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966bj1 23322r1 |
Quadratic twists by: -3 13 |