Atkin-Lehner |
2- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2686a |
Isogeny class |
Conductor |
2686 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-95760154624 = -1 · 222 · 172 · 79 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-207,-15019] |
[a1,a2,a3,a4,a6] |
j |
-981218819953/95760154624 |
j-invariant |
L |
5.1971580098606 |
L(r)(E,1)/r! |
Ω |
0.47246890998732 |
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 |
21488g1 85952b1 24174c1 67150c1 |
Quadratic twists by: -4 8 -3 5 |