Atkin-Lehner |
3- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13629c |
Isogeny class |
Conductor |
13629 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
267265310546183103 = 312 · 73 · 112 · 594 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-274217,49334082] |
[a1,a2,a3,a4,a6] |
j |
2280378495437497565713/267265310546183103 |
j-invariant |
L |
1.7981373039276 |
L(r)(E,1)/r! |
Ω |
0.2996895506546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40887g3 95403d3 |
Quadratic twists by: -3 -7 |