Atkin-Lehner |
2+ 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990l |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
6236100 = 22 · 32 · 52 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1303,-18202] |
[a1,a2,a3,a4,a6] |
j |
244386801446761/6236100 |
j-invariant |
L |
3.1788061263414 |
L(r)(E,1)/r! |
Ω |
0.79470153158536 |
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 |
127920bn1 47970bb1 79950bm1 |
Quadratic twists by: -4 -3 5 |