Atkin-Lehner |
23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
38617a |
Isogeny class |
Conductor |
38617 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18480 |
Modular degree for the optimal curve |
Δ |
10806619897 = 236 · 73 |
Discriminant |
Eigenvalues |
1 0 -2 -2 2 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-628,3579] |
[a1,a2,a3,a4,a6] |
Generators |
[462:2943:8] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
2.8251635113395 |
L(r)(E,1)/r! |
Ω |
1.1646715650311 |
Real period |
R |
2.4257169112409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73a2 |
Quadratic twists by: -23 |