Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312k |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-434816240423943168 = -1 · 210 · 36 · 77 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57771,-32172714] |
[a1,a2,a3,a4,a6] |
Generators |
[92375178:-2160621190:132651] |
Generators of the group modulo torsion |
j |
-242793828/4950967 |
j-invariant |
L |
6.545567430671 |
L(r)(E,1)/r! |
Ω |
0.12842301509061 |
Real period |
R |
12.742200910709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11368n4 14616d4 |
Quadratic twists by: -3 -7 |