Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374k |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
235228541184 = 28 · 312 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3924,-92016] |
[a1,a2,a3,a4,a6] |
j |
6682171619462977/235228541184 |
j-invariant |
L |
3.6270740730367 |
L(r)(E,1)/r! |
Ω |
0.60451234550612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992cd1 31122i1 72618bo1 |
Quadratic twists by: -4 -3 -7 |