Atkin-Lehner |
2+ 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130f |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-36844512735017610 = -1 · 2 · 34 · 5 · 78 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136188,-21492702] |
[a1,a2,a3,a4,a6] |
j |
-279347777858329128649/36844512735017610 |
j-invariant |
L |
0.98683170353386 |
L(r)(E,1)/r! |
Ω |
0.12335396294173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040bx3 33390bz3 55650cx3 77910bc3 |
Quadratic twists by: -4 -3 5 -7 |