Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7700l |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
44388967700000000 = 28 · 58 · 79 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-251333,-47510537] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:1029:1] |
Generators of the group modulo torsion |
j |
17557957181440/443889677 |
j-invariant |
L |
3.1037492265522 |
L(r)(E,1)/r! |
Ω |
0.21355345872397 |
Real period |
R |
1.6148697718739 |
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 |
30800cf2 123200de2 69300cl2 7700e2 |
Quadratic twists by: -4 8 -3 5 |