Atkin-Lehner |
2+ 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101738j |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1003392 |
Modular degree for the optimal curve |
Δ |
-1098032283077912 = -1 · 23 · 7 · 139 · 432 |
Discriminant |
Eigenvalues |
2+ 3 0 7+ -3 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25403,-342835] |
[a1,a2,a3,a4,a6] |
j |
170953875/103544 |
j-invariant |
L |
1.1382505219173 |
L(r)(E,1)/r! |
Ω |
0.28456269873681 |
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 |
101738ba1 |
Quadratic twists by: 13 |