Atkin-Lehner |
2- 7+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
85358n |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
Δ |
-121895806029731552 = -1 · 25 · 78 · 133 · 673 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -6 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,49342,-16255324] |
[a1,a2,a3,a4,a6] |
Generators |
[200:1174:1] [278:4216:1] |
Generators of the group modulo torsion |
j |
2304565673375/21144841952 |
j-invariant |
L |
17.614873874465 |
L(r)(E,1)/r! |
Ω |
0.16366287949009 |
Real period |
R |
0.79725193414253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358q2 |
Quadratic twists by: -7 |