Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200ck |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-142879684320000 = -1 · 28 · 311 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 -5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7067,525337] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:710:1] |
Generators of the group modulo torsion |
j |
243920076800/892998027 |
j-invariant |
L |
4.7978739572126 |
L(r)(E,1)/r! |
Ω |
0.41270474833598 |
Real period |
R |
0.96878660032528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300s1 85200cu1 |
Quadratic twists by: -4 5 |