Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4312b |
Isogeny class |
Conductor |
4312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-4999973321728 = -1 · 210 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4165,-29498] |
[a1,a2,a3,a4,a6] |
j |
66325500/41503 |
j-invariant |
L |
1.7688140509549 |
L(r)(E,1)/r! |
Ω |
0.44220351273872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8624e1 34496bc1 38808cg1 107800bo1 |
Quadratic twists by: -4 8 -3 5 |