Atkin-Lehner |
2- 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150cg |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
247680 |
Modular degree for the optimal curve |
Δ |
-4892842968750 = -1 · 2 · 36 · 58 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4237,-7233] |
[a1,a2,a3,a4,a6] |
j |
21534394415/12525678 |
j-invariant |
L |
5.4615181501605 |
L(r)(E,1)/r! |
Ω |
0.45512652068683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150b1 |
Quadratic twists by: 5 |