Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800a |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
27136000000000 = 218 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220300,39798000] |
[a1,a2,a3,a4,a6] |
Generators |
[45:5475:1] |
Generators of the group modulo torsion |
j |
288673724529/6625 |
j-invariant |
L |
5.1442381841653 |
L(r)(E,1)/r! |
Ω |
0.61692308630728 |
Real period |
R |
4.1692702891276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84800bm1 1325b1 16960g1 |
Quadratic twists by: -4 8 5 |