Atkin-Lehner |
3+ 5- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23655b |
Isogeny class |
Conductor |
23655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-23825463725475 = -1 · 35 · 52 · 193 · 833 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 -4 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-172040,27524231] |
[a1,a2,a3,a4,a6] |
j |
-563137616257186041856/23825463725475 |
j-invariant |
L |
1.2668800556495 |
L(r)(E,1)/r! |
Ω |
0.6334400278248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70965d1 118275f1 |
Quadratic twists by: -3 5 |