Atkin-Lehner |
2+ 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
81070h |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
410400 |
Modular degree for the optimal curve |
Δ |
-311150738145280 = -1 · 219 · 5 · 116 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11- 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5321,835866] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:232:1] |
Generators of the group modulo torsion |
j |
9407293631/175636480 |
j-invariant |
L |
2.033978356738 |
L(r)(E,1)/r! |
Ω |
0.40604265511969 |
Real period |
R |
5.0092726279692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
670d1 |
Quadratic twists by: -11 |