Atkin-Lehner |
2+ 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19608c |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
648333325919232 = 210 · 33 · 193 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56800,-5045444] |
[a1,a2,a3,a4,a6] |
j |
19791395091964804/633138013593 |
j-invariant |
L |
0.9295742857189 |
L(r)(E,1)/r! |
Ω |
0.30985809523964 |
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 |
39216f1 58824k1 |
Quadratic twists by: -4 -3 |