Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904bf |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-5789376 = -1 · 26 · 32 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 5 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115,529] |
[a1,a2,a3,a4,a6] |
Generators |
[0:23:1] |
Generators of the group modulo torsion |
j |
-2650991104/90459 |
j-invariant |
L |
7.6086438308218 |
L(r)(E,1)/r! |
Ω |
2.3858105650972 |
Real period |
R |
0.79728080066284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bm1 41952g1 |
Quadratic twists by: -4 8 |