Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bt |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-416156430703104 = -1 · 29 · 312 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5112,989820] |
[a1,a2,a3,a4,a6] |
j |
-245314376/6908733 |
j-invariant |
L |
5.3304826796222 |
L(r)(E,1)/r! |
Ω |
0.44420688915082 |
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 |
61152c2 122304cd3 1248h4 |
Quadratic twists by: -4 8 -7 |