Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654m |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2702236917245032566 = -1 · 2 · 37 · 73 · 239 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128646,-81027054] |
[a1,a2,a3,a4,a6] |
Generators |
[66645:130932:125] |
Generators of the group modulo torsion |
j |
-2181825073/25039686 |
j-invariant |
L |
2.9395298178101 |
L(r)(E,1)/r! |
Ω |
0.10882667302547 |
Real period |
R |
3.3763894178192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218be2 2898j2 |
Quadratic twists by: -3 -23 |