Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304f |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-3.8352397057987E+19 |
Discriminant |
Eigenvalues |
2+ 3 0 7+ 6 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97700,-297725608] |
[a1,a2,a3,a4,a6] |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
4.8042593937913 |
L(r)(E,1)/r! |
Ω |
0.096085187875826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10304bh1 1288c1 92736bc1 72128y1 |
Quadratic twists by: -4 8 -3 -7 |