Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mg |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
358467379200000000 = 219 · 36 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3854700,-2912814000] |
[a1,a2,a3,a4,a6] |
Generators |
[2829:93933:1] |
Generators of the group modulo torsion |
j |
2121328796049/120050 |
j-invariant |
L |
4.516833438322 |
L(r)(E,1)/r! |
Ω |
0.10774655255517 |
Real period |
R |
5.24011363738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fn4 25200dy4 11200bu4 20160ei3 |
Quadratic twists by: -4 8 -3 5 |