Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850ge |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1200000 |
Modular degree for the optimal curve |
Δ |
-757476562500 = -1 · 22 · 36 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6508805,6393085697] |
[a1,a2,a3,a4,a6] |
Generators |
[7238447:-3582930:4913] |
Generators of the group modulo torsion |
j |
-21417553667311829/532 |
j-invariant |
L |
9.9966338005435 |
L(r)(E,1)/r! |
Ω |
0.4712529541648 |
Real period |
R |
5.3032207609096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650l1 59850dk1 |
Quadratic twists by: -3 5 |