Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520d |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
747118209600 = 26 · 34 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2466,-21384] |
[a1,a2,a3,a4,a6] |
j |
220348864/99225 |
j-invariant |
L |
1.4133352106647 |
L(r)(E,1)/r! |
Ω |
0.70666760533237 |
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 |
23520bq1 47040dk2 70560ed1 117600he1 |
Quadratic twists by: -4 8 -3 5 |