Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ge |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-38912406750000 = -1 · 24 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8167,-99588] |
[a1,a2,a3,a4,a6] |
Generators |
[382856:-10537303:512] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
5.8597871559912 |
L(r)(E,1)/r! |
Ω |
0.37023116480319 |
Real period |
R |
7.9136870596204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bn1 2352t1 8400ci1 |
Quadratic twists by: -4 5 -7 |