Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984bb |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
871090104205569024 = 210 · 311 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16500472,-25803855484] |
[a1,a2,a3,a4,a6] |
j |
1717641340122148/3011499 |
j-invariant |
L |
1.6479657716078 |
L(r)(E,1)/r! |
Ω |
0.0749075350731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19992l1 119952bd1 39984b1 |
Quadratic twists by: -4 -3 -7 |