Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2772b |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3614914904832 = 28 · 39 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5967,-152010] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:154:1] |
Generators of the group modulo torsion |
j |
4662947952/717409 |
j-invariant |
L |
2.5962310479364 |
L(r)(E,1)/r! |
Ω |
0.54881946201294 |
Real period |
R |
0.39421449548181 |
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 |
11088bc2 44352c2 2772a2 69300k2 |
Quadratic twists by: -4 8 -3 5 |