Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dh |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
16778979802816 = 26 · 7 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 11- 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-643384,198419554] |
[a1,a2,a3,a4,a6] |
j |
460209079337068260928/262171559419 |
j-invariant |
L |
3.9975419769683 |
L(r)(E,1)/r! |
Ω |
0.57107751601123 |
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 |
113344dy1 56672b1 |
Quadratic twists by: -4 8 |