Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475v |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
15064296399140625 = 39 · 57 · 73 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229730,42025272] |
[a1,a2,a3,a4,a6] |
Generators |
[-546:2385:1] |
Generators of the group modulo torsion |
j |
117713838907729/1322517105 |
j-invariant |
L |
3.3828281148685 |
L(r)(E,1)/r! |
Ω |
0.39551217204135 |
Real period |
R |
2.1382579058242 |
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 |
6825b1 4095m1 |
Quadratic twists by: -3 5 |