Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600o |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
836000000 = 28 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1775,28750] |
[a1,a2,a3,a4,a6] |
Generators |
[30:50:1] [61:384:1] |
Generators of the group modulo torsion |
j |
154617552/209 |
j-invariant |
L |
9.3640150106504 |
L(r)(E,1)/r! |
Ω |
1.5820169247007 |
Real period |
R |
2.959517962309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800r1 3344a1 |
Quadratic twists by: -4 5 |