Atkin-Lehner |
2- 3+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094s |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-3250017732132864 = -1 · 220 · 35 · 7 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,34538,-1177069] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1711:1] |
Generators of the group modulo torsion |
j |
4556322767940900767/3250017732132864 |
j-invariant |
L |
7.2834192800179 |
L(r)(E,1)/r! |
Ω |
0.25202558033027 |
Real period |
R |
0.96331746304922 |
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 |
51282h1 119658cz1 |
Quadratic twists by: -3 -7 |