Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2772m |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-24249456 = -1 · 24 · 39 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-191] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
1257728/2079 |
j-invariant |
L |
2.8852704669046 |
L(r)(E,1)/r! |
Ω |
1.1209775245278 |
Real period |
R |
0.64347197061779 |
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 |
11088bi1 44352cg1 924g1 69300bf1 |
Quadratic twists by: -4 8 -3 5 |