Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
23904i |
Isogeny class |
Conductor |
23904 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-26677294272 = -1 · 26 · 36 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 -3 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549,-9288] |
[a1,a2,a3,a4,a6] |
Generators |
[259:4150:1] |
Generators of the group modulo torsion |
j |
-392223168/571787 |
j-invariant |
L |
6.528282655047 |
L(r)(E,1)/r! |
Ω |
0.46859318237989 |
Real period |
R |
2.3219439592538 |
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 |
23904d1 47808bp1 2656c1 |
Quadratic twists by: -4 8 -3 |