Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800b |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21827584000000 = -1 · 218 · 56 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 2 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6100,-130000] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-800:1] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
3.3788418157237 |
L(r)(E,1)/r! |
Ω |
0.37399007751216 |
Real period |
R |
1.1293220188325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999433204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116800bk2 1825a2 4672a2 |
Quadratic twists by: -4 8 5 |