Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23698l |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-73217550100736 = -1 · 28 · 178 · 41 |
Discriminant |
Eigenvalues |
2- -1 1 3 -1 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26305,1681983] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:1240:1] |
Generators of the group modulo torsion |
j |
-288568081/10496 |
j-invariant |
L |
7.6501757927174 |
L(r)(E,1)/r! |
Ω |
0.61013888666344 |
Real period |
R |
0.52243404192722 |
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 |
23698h1 |
Quadratic twists by: 17 |