Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730p |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5565730909310 = -1 · 2 · 5 · 117 · 134 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 11- 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6859,-244645] |
[a1,a2,a3,a4,a6] |
j |
-20145851361/3141710 |
j-invariant |
L |
4.1610998573709 |
L(r)(E,1)/r! |
Ω |
0.26006874108568 |
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 |
125840cs1 78650ca1 1430j1 |
Quadratic twists by: -4 5 -11 |