Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122728g |
Isogeny class |
Conductor |
122728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-733045299437312 = -1 · 28 · 237 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 0 2 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16399,1533042] |
[a1,a2,a3,a4,a6] |
Generators |
[81:858:1] |
Generators of the group modulo torsion |
j |
-12869712/19343 |
j-invariant |
L |
7.7125969361799 |
L(r)(E,1)/r! |
Ω |
0.45535869885079 |
Real period |
R |
4.2343524328551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5336b1 |
Quadratic twists by: -23 |