Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600et |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2822688000000000 = 214 · 36 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-379875,90081250] |
[a1,a2,a3,a4,a6] |
Generators |
[225:4000:1] |
Generators of the group modulo torsion |
j |
1039509197/484 |
j-invariant |
L |
5.4596469539752 |
L(r)(E,1)/r! |
Ω |
0.44623820462491 |
Real period |
R |
1.5293532964536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950q2 4400y2 39600es2 |
Quadratic twists by: -4 -3 5 |