Atkin-Lehner |
2- 3+ 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150bv |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-869838750 = -1 · 2 · 34 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-563,-5569] |
[a1,a2,a3,a4,a6] |
Generators |
[270:851:8] |
Generators of the group modulo torsion |
j |
-31580361025/1391742 |
j-invariant |
L |
11.064951880281 |
L(r)(E,1)/r! |
Ω |
0.48878834283058 |
Real period |
R |
1.88645931437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150ba1 |
Quadratic twists by: 5 |