Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728be |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-240546123546962688 = -1 · 28 · 39 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30135,-23682778] |
[a1,a2,a3,a4,a6] |
j |
-137842000/10955763 |
j-invariant |
L |
2.2081931791885 |
L(r)(E,1)/r! |
Ω |
0.1380120708272 |
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 |
45864bo2 30576i2 13104x2 |
Quadratic twists by: -4 -3 -7 |