Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
23496d |
Isogeny class |
Conductor |
23496 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7360 |
Modular degree for the optimal curve |
Δ |
-669917952 = -1 · 28 · 35 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-1237] |
[a1,a2,a3,a4,a6] |
Generators |
[17:66:1] |
Generators of the group modulo torsion |
j |
5030912/2616867 |
j-invariant |
L |
6.7018754307609 |
L(r)(E,1)/r! |
Ω |
0.75530842967452 |
Real period |
R |
0.44365157116337 |
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 |
46992b1 70488e1 |
Quadratic twists by: -4 -3 |