Atkin-Lehner |
2- 3+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094r |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1345469013504 = -1 · 29 · 32 · 72 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- 0 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-396,55725] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-235:1] |
Generators of the group modulo torsion |
j |
-6868751617729/1345469013504 |
j-invariant |
L |
5.7878644759211 |
L(r)(E,1)/r! |
Ω |
0.69935799568836 |
Real period |
R |
0.045977600659812 |
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 |
51282g1 119658cy1 |
Quadratic twists by: -3 -7 |