Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cy |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
569729023841434275 = 32 · 52 · 79 · 137 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4037160,3121661997] |
[a1,a2,a3,a4,a6] |
j |
37360194607/2925 |
j-invariant |
L |
2.2189578830168 |
L(r)(E,1)/r! |
Ω |
0.27736994015102 |
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 |
124215i2 9555p2 |
Quadratic twists by: -7 13 |