Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086j |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60932241496859922 = 2 · 36 · 72 · 318 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4514958,3693679434] |
[a1,a2,a3,a4,a6] |
Generators |
[1155:3747:1] |
Generators of the group modulo torsion |
j |
15732118860193/94178 |
j-invariant |
L |
1.5400482492223 |
L(r)(E,1)/r! |
Ω |
0.31209996285068 |
Real period |
R |
1.2336177330237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000354715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13454e2 3906c2 |
Quadratic twists by: -3 -31 |