Atkin-Lehner |
2- 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270ct |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
10080 |
Product of Tamagawa factors cp |
deg |
73543680 |
Modular degree for the optimal curve |
Δ |
5.6511502027523E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6261614555,190368026935377] |
[a1,a2,a3,a4,a6] |
Generators |
[42844:-882047:1] |
Generators of the group modulo torsion |
j |
27150804530604462383200555962588721/56511502027523451562500000000 |
j-invariant |
L |
11.564142360456 |
L(r)(E,1)/r! |
Ω |
0.035337903620344 |
Real period |
R |
0.12985901570264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810w1 |
Quadratic twists by: -3 |