Atkin-Lehner |
2+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920k |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
123008000 = 210 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -4 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,-125] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:15:1] [-5:20:1] |
Generators of the group modulo torsion |
j |
212629504/120125 |
j-invariant |
L |
4.2957012000094 |
L(r)(E,1)/r! |
Ω |
1.5377847439255 |
Real period |
R |
0.93114488595301 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920bj1 1240d1 89280bi1 49600k1 |
Quadratic twists by: -4 8 -3 5 |