Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
58400g |
Isogeny class |
Conductor |
58400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-116800000000 = -1 · 212 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -5 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,5537] |
[a1,a2,a3,a4,a6] |
Generators |
[3584:46983:343] |
Generators of the group modulo torsion |
j |
109760/73 |
j-invariant |
L |
10.054923025104 |
L(r)(E,1)/r! |
Ω |
0.65911968919244 |
Real period |
R |
7.6275395728012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58400h1 116800dc1 58400p1 |
Quadratic twists by: -4 8 5 |