Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642ba |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
60706884 = 22 · 3 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99,-99] |
[a1,a2,a3,a4,a6] |
j |
912673/516 |
j-invariant |
L |
1.6315501586293 |
L(r)(E,1)/r! |
Ω |
1.6315501586293 |
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 |
101136cm1 37926y1 258g1 |
Quadratic twists by: -4 -3 -7 |