Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900y |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
544772071520000 = 28 · 54 · 237 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57308,-5178812] |
[a1,a2,a3,a4,a6] |
j |
878800/23 |
j-invariant |
L |
1.8543424128517 |
L(r)(E,1)/r! |
Ω |
0.30905706866257 |
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 |
52900m1 2300h1 |
Quadratic twists by: 5 -23 |