Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
11214g |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-588600432 = -1 · 24 · 310 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,1165] |
[a1,a2,a3,a4,a6] |
j |
103823/807408 |
j-invariant |
L |
2.5716274635256 |
L(r)(E,1)/r! |
Ω |
1.2858137317628 |
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 |
89712v1 3738c1 78498r1 |
Quadratic twists by: -4 -3 -7 |