Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3776t |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-241664 = -1 · 212 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 -5 0 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,23] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
-21952/59 |
j-invariant |
L |
4.2769924915943 |
L(r)(E,1)/r! |
Ω |
2.7585110202563 |
Real period |
R |
0.77523570871883 |
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 |
3776o1 1888a1 33984bo1 94400cs1 |
Quadratic twists by: -4 8 -3 5 |