Atkin-Lehner |
2- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18130r |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-7617772750 = -1 · 2 · 53 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,4507] |
[a1,a2,a3,a4,a6] |
j |
-24137569/64750 |
j-invariant |
L |
6.9817776558323 |
L(r)(E,1)/r! |
Ω |
1.1636296093054 |
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 |
90650n1 2590d1 |
Quadratic twists by: 5 -7 |