Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304d |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
43218108416 = 228 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-897,2945] |
[a1,a2,a3,a4,a6] |
j |
304821217/164864 |
j-invariant |
L |
3.9830495619347 |
L(r)(E,1)/r! |
Ω |
0.99576239048367 |
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 |
10304bg1 322d1 92736bg1 72128w1 |
Quadratic twists by: -4 8 -3 -7 |