Atkin-Lehner |
2- 3- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314r |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-1254350665728 = -1 · 211 · 39 · 292 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 -1 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17096,866315] |
[a1,a2,a3,a4,a6] |
Generators |
[25922680221:601800009335:949862087] [-101:1297:1] |
Generators of the group modulo torsion |
j |
-757976769362233/1720645632 |
j-invariant |
L |
8.8505119672152 |
L(r)(E,1)/r! |
Ω |
0.863565514497 |
Real period |
R |
0.11646365902653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6438d1 |
Quadratic twists by: -3 |