Atkin-Lehner |
3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627d |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
18700190901 = 33 · 77 · 292 |
Discriminant |
Eigenvalues |
1 3+ -1 7- 2 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,-7461] |
[a1,a2,a3,a4,a6] |
j |
707281/189 |
j-invariant |
L |
1.7991596125991 |
L(r)(E,1)/r! |
Ω |
0.89957917015014 |
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 |
17661e1 123627x1 |
Quadratic twists by: -7 29 |