Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121380s |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11985408 |
Modular degree for the optimal curve |
Δ |
7.1764137086389E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120126125,506802199977] |
[a1,a2,a3,a4,a6] |
Generators |
[50602:405:8] |
Generators of the group modulo torsion |
j |
107350675904536576/40186125 |
j-invariant |
L |
7.4255808295474 |
L(r)(E,1)/r! |
Ω |
0.15753861318492 |
Real period |
R |
3.9279157714721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121380t1 |
Quadratic twists by: 17 |