Atkin-Lehner |
2+ 7- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15862b |
Isogeny class |
Conductor |
15862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
105408 |
Modular degree for the optimal curve |
Δ |
-13966231356571648 = -1 · 218 · 73 · 114 · 1032 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,55160,2755392] |
[a1,a2,a3,a4,a6] |
j |
18560265416853536375/13966231356571648 |
j-invariant |
L |
3.041590683228 |
L(r)(E,1)/r! |
Ω |
0.253465890269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126896g1 111034d1 |
Quadratic twists by: -4 -7 |