Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dc |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2506752 |
Modular degree for the optimal curve |
Δ |
1.7486493916742E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9421496,11109501780] |
[a1,a2,a3,a4,a6] |
Generators |
[772:65550:1] |
Generators of the group modulo torsion |
j |
190407092777/360000 |
j-invariant |
L |
6.821790633456 |
L(r)(E,1)/r! |
Ω |
0.18074277429873 |
Real period |
R |
4.717886136542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670b1 69360cr1 |
Quadratic twists by: -4 17 |