Atkin-Lehner |
7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
119357f |
Isogeny class |
Conductor |
119357 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
372096 |
Modular degree for the optimal curve |
Δ |
2880987823133 = 7 · 178 · 59 |
Discriminant |
Eigenvalues |
2 0 4 7- -2 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4913,104401] |
[a1,a2,a3,a4,a6] |
Generators |
[-872079290793930:15023064035421883:32248529487000] |
Generators of the group modulo torsion |
j |
1880064/413 |
j-invariant |
L |
19.139598628258 |
L(r)(E,1)/r! |
Ω |
0.75868273546824 |
Real period |
R |
25.227407628362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119357b1 |
Quadratic twists by: 17 |