Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dl |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6351048000000 = -1 · 29 · 38 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-121250] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1350:1] |
Generators of the group modulo torsion |
j |
-8/1089 |
j-invariant |
L |
4.5826403620393 |
L(r)(E,1)/r! |
Ω |
0.34412787457413 |
Real period |
R |
1.664584846244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200bo2 26400u2 3168k2 |
Quadratic twists by: -4 -3 5 |