Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bw |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
124021222303334400 = 226 · 33 · 52 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130157,-6258219] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:-1896:1] |
Generators of the group modulo torsion |
j |
9031490088862377843/4593378603827200 |
j-invariant |
L |
7.4686097547531 |
L(r)(E,1)/r! |
Ω |
0.26530507346391 |
Real period |
R |
0.21654634612612 |
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 |
16830e1 84150o1 |
Quadratic twists by: -3 5 |