Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798c |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
7220462197572 = 22 · 39 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4848,-11764] |
[a1,a2,a3,a4,a6] |
j |
132651/76 |
j-invariant |
L |
1.2411770315676 |
L(r)(E,1)/r! |
Ω |
0.62058851604222 |
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 |
57798bb1 342d1 |
Quadratic twists by: -3 13 |