Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215j |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-452763675 = -1 · 37 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-491,-4516] |
[a1,a2,a3,a4,a6] |
j |
-1581032089/54675 |
j-invariant |
L |
1.0121443758211 |
L(r)(E,1)/r! |
Ω |
0.50607228998519 |
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 |
124215cn1 124215bc1 |
Quadratic twists by: -7 13 |