Atkin-Lehner |
2- 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150ch |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-3325995340800000000 = -1 · 216 · 3 · 58 · 112 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-671138,229037892] |
[a1,a2,a3,a4,a6] |
j |
-85585305651104065/8514548072448 |
j-invariant |
L |
7.843610164837 |
L(r)(E,1)/r! |
Ω |
0.24511281364005 |
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 |
117150d1 |
Quadratic twists by: 5 |