Atkin-Lehner |
2- 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094bb |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-358974 = -1 · 2 · 32 · 72 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11,-33] |
[a1,a2,a3,a4,a6] |
Generators |
[38:23:8] |
Generators of the group modulo torsion |
j |
-148035889/358974 |
j-invariant |
L |
8.9777242516912 |
L(r)(E,1)/r! |
Ω |
1.2218315501897 |
Real period |
R |
1.8369398486841 |
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 |
51282l1 119658ci1 |
Quadratic twists by: -3 -7 |