Atkin-Lehner |
2- 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094ba |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-5.6459434994388E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4323340,-1047329136] |
[a1,a2,a3,a4,a6] |
Generators |
[280:13468:1] |
Generators of the group modulo torsion |
j |
8936796711846085160621759/5645943499438807842816 |
j-invariant |
L |
9.700487011873 |
L(r)(E,1)/r! |
Ω |
0.077678534129176 |
Real period |
R |
0.072268456458836 |
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 |
51282m1 119658cj1 |
Quadratic twists by: -3 -7 |