Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950u |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-2.33440406325E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3140376,7656455398] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:89106:1] |
Generators of the group modulo torsion |
j |
-219203980537177787761/1494018600480000000 |
j-invariant |
L |
4.1439855204113 |
L(r)(E,1)/r! |
Ω |
0.10335085392544 |
Real period |
R |
0.8353393164755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850ex1 3990v1 |
Quadratic twists by: -3 5 |