Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bc |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
3643200 |
Modular degree for the optimal curve |
Δ |
-1.122790070506E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1149859,-186110728] |
[a1,a2,a3,a4,a6] |
Generators |
[222:8839:1] |
Generators of the group modulo torsion |
j |
76529339407951422875/51105601752662016 |
j-invariant |
L |
7.5617984884568 |
L(r)(E,1)/r! |
Ω |
0.10654874662804 |
Real period |
R |
1.0753078650008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999227958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666cd1 |
Quadratic twists by: 13 |