Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560ed |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-828962242560 = -1 · 225 · 34 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1215,-40257] |
[a1,a2,a3,a4,a6] |
Generators |
[33:192:1] |
Generators of the group modulo torsion |
j |
756058031/3162240 |
j-invariant |
L |
9.4134536870503 |
L(r)(E,1)/r! |
Ω |
0.45144261511981 |
Real period |
R |
2.606492323687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560w1 14640t1 |
Quadratic twists by: -4 8 |