Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7700b |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2641100000000 = 28 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3508,-18012] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:250:1] [-32:250:1] |
Generators of the group modulo torsion |
j |
1193895376/660275 |
j-invariant |
L |
4.0836944191315 |
L(r)(E,1)/r! |
Ω |
0.66430477063005 |
Real period |
R |
1.0245534378391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800bw2 123200y2 69300bo2 1540b2 |
Quadratic twists by: -4 8 -3 5 |