Atkin-Lehner |
2- 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440cg |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
692736 |
Modular degree for the optimal curve |
Δ |
-20986087500000000 = -1 · 28 · 36 · 511 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66228,2354564] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:450:1] [368:8750:1] |
Generators of the group modulo torsion |
j |
172139738479616/112451171875 |
j-invariant |
L |
11.911723967466 |
L(r)(E,1)/r! |
Ω |
0.2396864564874 |
Real period |
R |
0.56473987571069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13160b1 |
Quadratic twists by: -3 |