Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bu |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3022730501963063472 = -1 · 24 · 37 · 712 · 792 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136058,-85815831] |
[a1,a2,a3,a4,a6] |
Generators |
[3999:249615:1] |
Generators of the group modulo torsion |
j |
-3247709677129/35243875632 |
j-invariant |
L |
12.80162322592 |
L(r)(E,1)/r! |
Ω |
0.10765915232707 |
Real period |
R |
3.7159007585166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226j2 9954l2 |
Quadratic twists by: -3 -7 |