Atkin-Lehner |
2+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930t |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-382569414400 = -1 · 28 · 52 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1741,-10635] |
[a1,a2,a3,a4,a6] |
j |
47950837137/31443200 |
j-invariant |
L |
3.2561199895739 |
L(r)(E,1)/r! |
Ω |
0.54268666793231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89930a1 |
Quadratic twists by: -23 |