Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952dl |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
4.4719530638926E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -2 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47158923,-124608943046] |
[a1,a2,a3,a4,a6] |
Generators |
[-43830273561597035:65568106766070378:10992877827875] |
Generators of the group modulo torsion |
j |
1617840527930521321/623760113664 |
j-invariant |
L |
5.8318004101409 |
L(r)(E,1)/r! |
Ω |
0.057612753773997 |
Real period |
R |
25.306030471212 |
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 |
14994bw1 39984ct1 119952fy1 |
Quadratic twists by: -4 -3 -7 |