Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286cq |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-23657094697824 = -1 · 25 · 311 · 73 · 233 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5377,176775] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-1932:1] |
Generators of the group modulo torsion |
j |
68769820673/94610592 |
j-invariant |
L |
7.2052871357896 |
L(r)(E,1)/r! |
Ω |
0.45559037764901 |
Real period |
R |
0.13179395880738 |
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 |
6762d1 20286cp1 |
Quadratic twists by: -3 -7 |