Atkin-Lehner |
2- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
3026c |
Isogeny class |
Conductor |
3026 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-49577984 = -1 · 215 · 17 · 89 |
Discriminant |
Eigenvalues |
2- -3 -1 0 0 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,87,105] |
[a1,a2,a3,a4,a6] |
Generators |
[7:28:1] |
Generators of the group modulo torsion |
j |
73612739871/49577984 |
j-invariant |
L |
2.8886736867529 |
L(r)(E,1)/r! |
Ω |
1.2616379878371 |
Real period |
R |
0.15264144520068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24208f1 96832d1 27234e1 75650k1 |
Quadratic twists by: -4 8 -3 5 |