Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328p |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
798608587569408 = 28 · 33 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71023652,230407834692] |
[a1,a2,a3,a4,a6] |
Generators |
[3430327712:-4590782:704969] |
Generators of the group modulo torsion |
j |
87364831012240243408/1760913 |
j-invariant |
L |
5.3992528251289 |
L(r)(E,1)/r! |
Ω |
0.26101510932862 |
Real period |
R |
10.342797470646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40656ba1 60984y1 1848b1 |
Quadratic twists by: -4 -3 -11 |