Atkin-Lehner |
2- 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010bo |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
2.5958064772325E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35017851,-18796614327] |
[a1,a2,a3,a4,a6] |
Generators |
[-10221259:1194711462:6859] |
Generators of the group modulo torsion |
j |
40364905887857461629601/22063991000625000000 |
j-invariant |
L |
7.8012783426375 |
L(r)(E,1)/r! |
Ω |
0.066280399775905 |
Real period |
R |
9.8084280521451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999397598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bm1 |
Quadratic twists by: -7 |