Atkin-Lehner |
31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
2077b |
Isogeny class |
Conductor |
2077 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
1995997 = 313 · 67 |
Discriminant |
Eigenvalues |
2 1 -4 4 -4 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-130,525] |
[a1,a2,a3,a4,a6] |
Generators |
[42:27:8] |
Generators of the group modulo torsion |
j |
244844425216/1995997 |
j-invariant |
L |
5.4872013642805 |
L(r)(E,1)/r! |
Ω |
2.6349260346485 |
Real period |
R |
0.69416260546792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33232f1 18693c1 51925e1 101773e1 |
Quadratic twists by: -4 -3 5 -7 |