Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200cg |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
85200 = 24 · 3 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -1 -2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:8] |
Generators of the group modulo torsion |
j |
655360/213 |
j-invariant |
L |
6.5589634113626 |
L(r)(E,1)/r! |
Ω |
2.5630396762887 |
Real period |
R |
2.55905652735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300m1 85200eb1 |
Quadratic twists by: -4 5 |