Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488f |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
10467745344 = 26 · 34 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-974,-10296] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:28:1] [-14:20:1] |
Generators of the group modulo torsion |
j |
1598329885888/163558521 |
j-invariant |
L |
5.8589470768323 |
L(r)(E,1)/r! |
Ω |
0.86016336037826 |
Real period |
R |
3.4057176501083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19488g1 38976bu2 58464m1 |
Quadratic twists by: -4 8 -3 |