Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150bn |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-159785156250 = -1 · 2 · 34 · 510 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 4 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,19242] |
[a1,a2,a3,a4,a6] |
j |
-47045881/10226250 |
j-invariant |
L |
6.6757821880204 |
L(r)(E,1)/r! |
Ω |
0.83447277350255 |
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 |
121200ci1 45450s1 3030f1 |
Quadratic twists by: -4 -3 5 |