Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320c |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
2.8938617084009E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1747516,-348045216] |
[a1,a2,a3,a4,a6] |
Generators |
[-42905:1817672:125] |
Generators of the group modulo torsion |
j |
477625344356176/234195040625 |
j-invariant |
L |
2.8729356146764 |
L(r)(E,1)/r! |
Ω |
0.13801491426994 |
Real period |
R |
10.408062164398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640m1 3640j1 |
Quadratic twists by: -4 13 |