Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550r |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
18931200 |
Modular degree for the optimal curve |
Δ |
-9.6435619548365E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174607401,-900554836052] |
[a1,a2,a3,a4,a6] |
j |
-37678328351965951182707329/617187965109534720000 |
j-invariant |
L |
1.0372929165494 |
L(r)(E,1)/r! |
Ω |
0.020745858864576 |
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 |
15510k1 |
Quadratic twists by: 5 |