Atkin-Lehner |
7- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119119k |
Isogeny class |
Conductor |
119119 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45588480 |
Modular degree for the optimal curve |
Δ |
-2.2550440991811E+25 |
Discriminant |
Eigenvalues |
0 2 -3 7- 11- 13- 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-470982577,3940975989425] |
[a1,a2,a3,a4,a6] |
j |
-98208708041747682089500672/191675585783228606059 |
j-invariant |
L |
2.1698789379804 |
L(r)(E,1)/r! |
Ω |
0.067808741159186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17017a1 |
Quadratic twists by: -7 |