Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200ba |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7259040000000 = 211 · 32 · 57 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47408,3955188] |
[a1,a2,a3,a4,a6] |
Generators |
[52:1278:1] |
Generators of the group modulo torsion |
j |
368245795538/226845 |
j-invariant |
L |
8.9365067497856 |
L(r)(E,1)/r! |
Ω |
0.73636647855548 |
Real period |
R |
1.5169937477143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600r2 17040c2 |
Quadratic twists by: -4 5 |