Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56800o |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-2.25528668875E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -4 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99501533,-382675367563] |
[a1,a2,a3,a4,a6] |
j |
-1702288080319928149504/3523885451171875 |
j-invariant |
L |
0.095591270552772 |
L(r)(E,1)/r! |
Ω |
0.02389781773821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56800h1 113600o1 11360d1 |
Quadratic twists by: -4 8 5 |