Atkin-Lehner |
2- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
57680o |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8778240 |
Modular degree for the optimal curve |
Δ |
-3.3309284200276E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59922136,-178733164560] |
[a1,a2,a3,a4,a6] |
j |
-5809324407022015989155929/8132149462958080000 |
j-invariant |
L |
0.32554987875693 |
L(r)(E,1)/r! |
Ω |
0.027129156602595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7210a1 |
Quadratic twists by: -4 |