Atkin-Lehner |
2+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680c |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
565264000000 = 210 · 56 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11443,-469758] |
[a1,a2,a3,a4,a6] |
j |
161824192773156/552015625 |
j-invariant |
L |
2.7701603634917 |
L(r)(E,1)/r! |
Ω |
0.46169339421346 |
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 |
28840e1 |
Quadratic twists by: -4 |