Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bt |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5391360 |
Modular degree for the optimal curve |
Δ |
1.5184123927007E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2125094,1033662755] |
[a1,a2,a3,a4,a6] |
j |
100084768611589/14318567424 |
j-invariant |
L |
3.1586842704026 |
L(r)(E,1)/r! |
Ω |
0.17548242153041 |
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 |
120666i1 |
Quadratic twists by: 13 |