Atkin-Lehner |
2- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76532f |
Isogeny class |
Conductor |
76532 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74844 |
Modular degree for the optimal curve |
Δ |
39894907088 = 24 · 196 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 0 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6257,188188] |
[a1,a2,a3,a4,a6] |
j |
35995648/53 |
j-invariant |
L |
0.5736229871382 |
L(r)(E,1)/r! |
Ω |
1.1472460759155 |
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 |
212b2 |
Quadratic twists by: -19 |