Atkin-Lehner |
2- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
15128d |
Isogeny class |
Conductor |
15128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2096 |
Modular degree for the optimal curve |
Δ |
-484096 = -1 · 28 · 31 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 -4 -1 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,-51] |
[a1,a2,a3,a4,a6] |
j |
-7023616/1891 |
j-invariant |
L |
2.0985544678197 |
L(r)(E,1)/r! |
Ω |
1.0492772339098 |
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 |
30256b1 121024l1 |
Quadratic twists by: -4 8 |