Atkin-Lehner |
13+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
118807d |
Isogeny class |
Conductor |
118807 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37152 |
Modular degree for the optimal curve |
Δ |
20078383 = 134 · 19 · 37 |
Discriminant |
Eigenvalues |
-1 -1 2 4 6 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-257,1464] |
[a1,a2,a3,a4,a6] |
j |
65743873/703 |
j-invariant |
L |
2.1719732231997 |
L(r)(E,1)/r! |
Ω |
2.1719749560485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118807e1 |
Quadratic twists by: 13 |