Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
5356b |
Isogeny class |
Conductor |
5356 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
1654552896256 = 28 · 137 · 103 |
Discriminant |
Eigenvalues |
2- -1 3 0 2 13- 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38524,-2896888] |
[a1,a2,a3,a4,a6] |
j |
24699555786200272/6463097251 |
j-invariant |
L |
2.3854517208883 |
L(r)(E,1)/r! |
Ω |
0.34077881726976 |
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 |
21424m1 85696o1 48204n1 69628d1 |
Quadratic twists by: -4 8 -3 13 |