Atkin-Lehner |
2- 3+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18690j |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
4019097600 = 212 · 32 · 52 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-711,6333] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:74:1] [-21:122:1] |
Generators of the group modulo torsion |
j |
39753071528689/4019097600 |
j-invariant |
L |
8.2271743258456 |
L(r)(E,1)/r! |
Ω |
1.3505417591379 |
Real period |
R |
0.25382327345616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070o1 93450be1 |
Quadratic twists by: -3 5 |