Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58016r |
Isogeny class |
Conductor |
58016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-6115669848064 = -1 · 212 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 2 3 7- -5 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4051,-67003] |
[a1,a2,a3,a4,a6] |
Generators |
[2255:13476:125] |
Generators of the group modulo torsion |
j |
15252992/12691 |
j-invariant |
L |
10.749721741366 |
L(r)(E,1)/r! |
Ω |
0.41761943654777 |
Real period |
R |
6.43511819652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58016s1 116032bv1 8288j1 |
Quadratic twists by: -4 8 -7 |