Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066k |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-2.2055205805082E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14296515,21992974029] |
[a1,a2,a3,a4,a6] |
Generators |
[1535:59793:1] |
Generators of the group modulo torsion |
j |
-182414014585448388625/12449588698939392 |
j-invariant |
L |
2.8579266252583 |
L(r)(E,1)/r! |
Ω |
0.11866709286266 |
Real period |
R |
3.0104456050072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006u1 |
Quadratic twists by: -11 |