Atkin-Lehner |
2+ 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504c |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
15808512 = 211 · 3 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -3 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] [-4:12:1] |
Generators of the group modulo torsion |
j |
14378114/7719 |
j-invariant |
L |
9.480628303849 |
L(r)(E,1)/r! |
Ω |
1.7938760896703 |
Real period |
R |
1.3212490486951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61752n1 |
Quadratic twists by: -4 |