Atkin-Lehner |
2+ 3- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094m |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-375691932 = -1 · 22 · 34 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-260,1838] |
[a1,a2,a3,a4,a6] |
Generators |
[3:31:1] |
Generators of the group modulo torsion |
j |
-1933038007993/375691932 |
j-invariant |
L |
4.9831905463487 |
L(r)(E,1)/r! |
Ω |
1.6252622724085 |
Real period |
R |
0.38326049208691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282bb1 119658x1 |
Quadratic twists by: -3 -7 |