Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bv |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
423614079774388800 = 26 · 39 · 52 · 115 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2243972,1294002919] |
[a1,a2,a3,a4,a6] |
Generators |
[-983:50981:1] |
Generators of the group modulo torsion |
j |
63486961018176728187/21521824913600 |
j-invariant |
L |
6.9554996337782 |
L(r)(E,1)/r! |
Ω |
0.29246488782004 |
Real period |
R |
0.19818617332217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16830d1 84150n1 |
Quadratic twists by: -3 5 |