Atkin-Lehner |
2- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070u |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-5188480000 = -1 · 210 · 54 · 112 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,410,-1308] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] [8:46:1] |
Generators of the group modulo torsion |
j |
62983052759/42880000 |
j-invariant |
L |
10.841370148998 |
L(r)(E,1)/r! |
Ω |
0.7717299183121 |
Real period |
R |
0.35120350693595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81070n1 |
Quadratic twists by: -11 |