Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400cw |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3654720000000 = -1 · 212 · 35 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 7 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14408,-676812] |
[a1,a2,a3,a4,a6] |
j |
-5168743489/57105 |
j-invariant |
L |
4.3547198536181 |
L(r)(E,1)/r! |
Ω |
0.21773599277514 |
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 |
3525a1 11280i1 |
Quadratic twists by: -4 5 |