Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36848x |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-4126976 = -1 · 28 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3 1 7- -3 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,98] |
[a1,a2,a3,a4,a6] |
j |
-432/47 |
j-invariant |
L |
4.052161779768 |
L(r)(E,1)/r! |
Ω |
2.0260808898784 |
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 |
9212b1 36848q1 |
Quadratic twists by: -4 -7 |