Atkin-Lehner |
2- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304t |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
517013504 = 216 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10529,-412351] |
[a1,a2,a3,a4,a6] |
j |
1969910093092/7889 |
j-invariant |
L |
1.8852086843693 |
L(r)(E,1)/r! |
Ω |
0.47130217109234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304p1 2576c1 92736em1 72128bn1 |
Quadratic twists by: -4 8 -3 -7 |