Atkin-Lehner |
7- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119119g |
Isogeny class |
Conductor |
119119 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.3639824094888E+19 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14470738,-21182806905] |
[a1,a2,a3,a4,a6] |
Generators |
[-1103184173512256288:477109452453292651:499205676695552] |
Generators of the group modulo torsion |
j |
2848442980981577236713/200935189375921 |
j-invariant |
L |
3.6786203437646 |
L(r)(E,1)/r! |
Ω |
0.077406730010516 |
Real period |
R |
23.761631343132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999450615 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17017d2 |
Quadratic twists by: -7 |