Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920o |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
485760 |
Modular degree for the optimal curve |
Δ |
-26139349433998080 = -1 · 28 · 311 · 5 · 75 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517825,-143807797] |
[a1,a2,a3,a4,a6] |
j |
-59983751935638946816/102106833726555 |
j-invariant |
L |
4.8937537977026 |
L(r)(E,1)/r! |
Ω |
0.088977341776291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960l1 127680ef1 95760bc1 |
Quadratic twists by: -4 8 -3 |