Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
48204i |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-398404634704128 = -1 · 28 · 319 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- -4 5 -1 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6153,942190] |
[a1,a2,a3,a4,a6] |
j |
138043818416/2134798497 |
j-invariant |
L |
2.3765551781229 |
L(r)(E,1)/r! |
Ω |
0.39609252971999 |
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 |
16068j1 |
Quadratic twists by: -3 |