Atkin-Lehner |
3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15141f |
Isogeny class |
Conductor |
15141 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-12830873235327 = -1 · 32 · 712 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 4 7- -2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4656,209376] |
[a1,a2,a3,a4,a6] |
j |
-94881210481/109060623 |
j-invariant |
L |
1.287027078538 |
L(r)(E,1)/r! |
Ω |
0.64351353926902 |
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 |
45423i1 2163a1 |
Quadratic twists by: -3 -7 |