Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8010h |
Isogeny class |
Conductor |
8010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
166095360000 = 212 · 36 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10238,400781] |
[a1,a2,a3,a4,a6] |
Generators |
[25:387:1] |
Generators of the group modulo torsion |
j |
162780279643801/227840000 |
j-invariant |
L |
6.3865423482206 |
L(r)(E,1)/r! |
Ω |
1.0182125756769 |
Real period |
R |
0.52269228947395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080r1 890e1 40050h1 |
Quadratic twists by: -4 -3 5 |