Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bh |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
-148220160000000 = -1 · 214 · 3 · 57 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181251,-29721602] |
[a1,a2,a3,a4,a6] |
Generators |
[863589:154001792:27] |
Generators of the group modulo torsion |
j |
-42144555313044001/9486090240 |
j-invariant |
L |
3.9530842706245 |
L(r)(E,1)/r! |
Ω |
0.11568948262422 |
Real period |
R |
8.5424452183937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570t1 |
Quadratic twists by: 5 |