Atkin-Lehner |
2+ 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bt |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
1255338000 = 24 · 37 · 53 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-747,7861] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:38:1] [-6:113:1] |
Generators of the group modulo torsion |
j |
506261573/13776 |
j-invariant |
L |
9.0859009168592 |
L(r)(E,1)/r! |
Ω |
1.5272572006813 |
Real period |
R |
2.9745811366846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050bl1 129150dx1 |
Quadratic twists by: -3 5 |