Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920p |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-12697600 = -1 · 214 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,175] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
21296/775 |
j-invariant |
L |
3.0340851293489 |
L(r)(E,1)/r! |
Ω |
1.6979040978753 |
Real period |
R |
0.89347953548895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920bb1 1240b1 89280bm1 49600x1 |
Quadratic twists by: -4 8 -3 5 |