Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75020j |
Isogeny class |
Conductor |
75020 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
560736 |
Modular degree for the optimal curve |
Δ |
-212644009952000 = -1 · 28 · 53 · 118 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- -4 11- 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42592,-3455276] |
[a1,a2,a3,a4,a6] |
Generators |
[3173:178345:1] |
Generators of the group modulo torsion |
j |
-155713536/3875 |
j-invariant |
L |
3.4974987899553 |
L(r)(E,1)/r! |
Ω |
0.16592012777658 |
Real period |
R |
7.0264707838806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75020i1 |
Quadratic twists by: -11 |