Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1078m |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-19531145788 = -1 · 22 · 79 · 112 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,636,-2612] |
[a1,a2,a3,a4,a6] |
j |
704969/484 |
j-invariant |
L |
1.3802562783331 |
L(r)(E,1)/r! |
Ω |
0.69012813916657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8624t1 34496t1 9702o1 26950x1 |
Quadratic twists by: -4 8 -3 5 |