Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850v |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-21152122406250000 = -1 · 24 · 3 · 59 · 11 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-338200,-76166000] |
[a1,a2,a3,a4,a6] |
Generators |
[5431340:82218080:6859] |
Generators of the group modulo torsion |
j |
-2190364990541909/10829886672 |
j-invariant |
L |
3.8831123119039 |
L(r)(E,1)/r! |
Ω |
0.098957235597274 |
Real period |
R |
9.8100767682075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850db1 |
Quadratic twists by: 5 |