Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190p |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-17956203507200 = -1 · 29 · 52 · 72 · 315 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48717,-4164131] |
[a1,a2,a3,a4,a6] |
j |
-260965544428316329/366453132800 |
j-invariant |
L |
1.6066145875423 |
L(r)(E,1)/r! |
Ω |
0.16066145875423 |
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 |
121520ci1 75950co1 15190a1 |
Quadratic twists by: -4 5 -7 |