Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23120y |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
-285727024783360 = -1 · 213 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 3 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11464,658160] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:34680:1] |
Generators of the group modulo torsion |
j |
5831/10 |
j-invariant |
L |
7.6045177649251 |
L(r)(E,1)/r! |
Ω |
0.37538197592648 |
Real period |
R |
1.6881732591974 |
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 |
2890e1 92480em1 115600cj1 23120bi1 |
Quadratic twists by: -4 8 5 17 |