Atkin-Lehner |
2- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950j |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2237760 |
Modular degree for the optimal curve |
Δ |
-4145727906681875000 = -1 · 23 · 57 · 173 · 675 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-192855,-103195353] |
[a1,a2,a3,a4,a6] |
j |
-50768494368898041/265326586027640 |
j-invariant |
L |
0.61567344815705 |
L(r)(E,1)/r! |
Ω |
0.10261224121517 |
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 |
11390g1 |
Quadratic twists by: 5 |