Atkin-Lehner |
3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
57195q |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20477952 |
Modular degree for the optimal curve |
Δ |
1.1511782657862E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158903078,-572623520988] |
[a1,a2,a3,a4,a6] |
j |
608685716070311043235420441/157911970615386962890625 |
j-invariant |
L |
0.26003512353631 |
L(r)(E,1)/r! |
Ω |
0.043339187747461 |
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 |
6355g1 |
Quadratic twists by: -3 |