Atkin-Lehner |
2+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36080h |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
79376000000 = 210 · 56 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1320,12100] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:50:1] [0:110:1] |
Generators of the group modulo torsion |
j |
248584770724/77515625 |
j-invariant |
L |
6.0575975222772 |
L(r)(E,1)/r! |
Ω |
1.0037741943092 |
Real period |
R |
0.50290174462039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18040h1 |
Quadratic twists by: -4 |