Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550k |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-142026696000000000 = -1 · 212 · 36 · 59 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-196500,38034000] |
[a1,a2,a3,a4,a6] |
Generators |
[840:21180:1] |
Generators of the group modulo torsion |
j |
-53702537074079041/9089708544000 |
j-invariant |
L |
3.7088011044051 |
L(r)(E,1)/r! |
Ω |
0.31461129498616 |
Real period |
R |
1.4735648263932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bn1 |
Quadratic twists by: 5 |