Atkin-Lehner |
2- 3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bs |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-5491406250 = -1 · 2 · 32 · 58 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4263,-108969] |
[a1,a2,a3,a4,a6] |
j |
-21933909265/14058 |
j-invariant |
L |
0.59081781980611 |
L(r)(E,1)/r! |
Ω |
0.2954088493396 |
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 |
117150w1 |
Quadratic twists by: 5 |