Atkin-Lehner |
2- 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
129780i |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
264956738503968000 = 28 · 314 · 53 · 75 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 7 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261768,45210692] |
[a1,a2,a3,a4,a6] |
j |
10629329818771456/1419735610125 |
j-invariant |
L |
1.7917417803626 |
L(r)(E,1)/r! |
Ω |
0.29862375948562 |
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 |
43260a1 |
Quadratic twists by: -3 |