Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bi |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
5370624 |
Modular degree for the optimal curve |
Δ |
-6006016703799560448 = -1 · 28 · 37 · 79 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 13- -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8925183,10262920402] |
[a1,a2,a3,a4,a6] |
Generators |
[1991:-20652:1] |
Generators of the group modulo torsion |
j |
-649814892820023421163761/49636501684293888 |
j-invariant |
L |
3.8962359883863 |
L(r)(E,1)/r! |
Ω |
0.22781214746418 |
Real period |
R |
0.045245623337988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066co1 |
Quadratic twists by: -11 |