Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23698h |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3033344 = -1 · 28 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 1 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91,337] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
-288568081/10496 |
j-invariant |
L |
7.8151863539052 |
L(r)(E,1)/r! |
Ω |
2.5156670760101 |
Real period |
R |
0.3883257461029 |
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 |
23698l1 |
Quadratic twists by: 17 |