Atkin-Lehner |
3- 5- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
76995m |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
13155317578125 = 39 · 58 · 29 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14862,-675185] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:112:1] |
Generators of the group modulo torsion |
j |
497998408351744/18045703125 |
j-invariant |
L |
4.7752371471265 |
L(r)(E,1)/r! |
Ω |
0.43335809724681 |
Real period |
R |
0.68869676966166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665c1 |
Quadratic twists by: -3 |