Atkin-Lehner |
7- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119119g |
Isogeny class |
Conductor |
119119 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
1667693516489 = 79 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14470493,-21183560280] |
[a1,a2,a3,a4,a6] |
Generators |
[-1078006493406212680972809480298560:538964755999186695009236385718515:490895517338014663878188466176] |
Generators of the group modulo torsion |
j |
2848298304869146270233/14175161 |
j-invariant |
L |
3.6786203437646 |
L(r)(E,1)/r! |
Ω |
0.077406730010516 |
Real period |
R |
47.523262686263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999450615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17017d1 |
Quadratic twists by: -7 |