Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mf |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-132269760000000000 = -1 · 215 · 310 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,17498000] |
[a1,a2,a3,a4,a6] |
Generators |
[64:4212:1] |
Generators of the group modulo torsion |
j |
-8/354375 |
j-invariant |
L |
6.563837541904 |
L(r)(E,1)/r! |
Ω |
0.26119150062778 |
Real period |
R |
3.1412955176464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nt3 50400dg2 33600en3 20160fj4 |
Quadratic twists by: -4 8 -3 5 |