Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752ci |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
48168960 |
Modular degree for the optimal curve |
Δ |
1.7616656872393E+25 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -5 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4314245763,109069843782274] |
[a1,a2,a3,a4,a6] |
Generators |
[37847:21294:1] |
Generators of the group modulo torsion |
j |
2974067900496992515620792961/5899782742437003264 |
j-invariant |
L |
4.3872455657542 |
L(r)(E,1)/r! |
Ω |
0.05940923334104 |
Real period |
R |
2.6374240634782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9594i1 25584x1 |
Quadratic twists by: -4 -3 |