Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600bw |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
268697600000000 = 224 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-559786700,5097790426000] |
[a1,a2,a3,a4,a6] |
Generators |
[-7024290:-968512000:343] |
Generators of the group modulo torsion |
j |
4736215902196909260801/65600 |
j-invariant |
L |
6.7621640194702 |
L(r)(E,1)/r! |
Ω |
0.19175618185999 |
Real period |
R |
8.8160965055046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600s4 16400r3 13120bj3 |
Quadratic twists by: -4 8 5 |