Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
60200i |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
6020000000 = 28 · 57 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12575,-542750] |
[a1,a2,a3,a4,a6] |
j |
54977843664/1505 |
j-invariant |
L |
0.90168171823167 |
L(r)(E,1)/r! |
Ω |
0.45084086003082 |
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 |
120400i1 12040a1 |
Quadratic twists by: -4 5 |