Atkin-Lehner |
2- 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430z |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
239139600 = 24 · 3 · 52 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195,657] |
[a1,a2,a3,a4,a6] |
j |
820288712881/239139600 |
j-invariant |
L |
3.2702582603824 |
L(r)(E,1)/r! |
Ω |
1.6351291301912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52290y1 87150be1 122010cy1 |
Quadratic twists by: -3 5 -7 |