Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bl |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
208574349312 = 228 · 3 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1624,-11792] |
[a1,a2,a3,a4,a6] |
j |
115714886617/50921472 |
j-invariant |
L |
0.78311223741361 |
L(r)(E,1)/r! |
Ω |
0.78311223741361 |
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 |
1554c1 49728ep1 37296cn1 87024ef1 |
Quadratic twists by: -4 8 -3 -7 |