Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fg |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4407038523759375000 = 23 · 310 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3871328,2931052331] |
[a1,a2,a3,a4,a6] |
Generators |
[1315:9967:1] |
Generators of the group modulo torsion |
j |
74814838808586409/51384375000 |
j-invariant |
L |
8.2941246476368 |
L(r)(E,1)/r! |
Ω |
0.24309490619773 |
Real period |
R |
2.8432395459596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630bt4 18270bv3 |
Quadratic twists by: -3 -7 |