Atkin-Lehner |
2- 3- 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130bn |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6094848 |
Modular degree for the optimal curve |
Δ |
-7.6518300895039E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2188147,-468665413] |
[a1,a2,a3,a4,a6] |
Generators |
[788142672678:9871115762743:3695119336] |
Generators of the group modulo torsion |
j |
1589373082933078295159/1049633757133593750 |
j-invariant |
L |
11.740308379517 |
L(r)(E,1)/r! |
Ω |
0.090973816141259 |
Real period |
R |
16.131438799499 |
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 |
40710n1 |
Quadratic twists by: -3 |