Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
27832b |
Isogeny class |
Conductor |
27832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
59874870272 = 210 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 2 0 7- -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8248,290844] |
[a1,a2,a3,a4,a6] |
Generators |
[-1230:20384:27] |
Generators of the group modulo torsion |
j |
515150500/497 |
j-invariant |
L |
7.6422533970612 |
L(r)(E,1)/r! |
Ω |
1.1043934002582 |
Real period |
R |
3.4599325726115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55664b1 3976a1 |
Quadratic twists by: -4 -7 |