Atkin-Lehner |
5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915b |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-25614109353671875 = -1 · 57 · 178 · 47 |
Discriminant |
Eigenvalues |
0 0 5+ 0 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,25432,-7540227] |
[a1,a2,a3,a4,a6] |
j |
75365351424/1061171875 |
j-invariant |
L |
0.36904129239995 |
L(r)(E,1)/r! |
Ω |
0.18452064300578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3995c1 |
Quadratic twists by: 17 |