Atkin-Lehner |
2+ 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720f |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
110822400 = 210 · 32 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1456,-20900] |
[a1,a2,a3,a4,a6] |
j |
333584701636/108225 |
j-invariant |
L |
1.5456914628342 |
L(r)(E,1)/r! |
Ω |
0.77284573185094 |
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 |
115440y1 |
Quadratic twists by: -4 |