Atkin-Lehner |
2- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
85358u |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-6462624896 = -1 · 27 · 73 · 133 · 67 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -4 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8049,279969] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-404:1] |
Generators of the group modulo torsion |
j |
-168114351332871/18841472 |
j-invariant |
L |
3.8117454001666 |
L(r)(E,1)/r! |
Ω |
1.2838635566608 |
Real period |
R |
0.070689632518004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358r1 |
Quadratic twists by: -7 |