Atkin-Lehner |
3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305a |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
469248 |
Modular degree for the optimal curve |
Δ |
-32364116355675 = -1 · 3 · 52 · 138 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-850971,302432327] |
[a1,a2,a3,a4,a6] |
Generators |
[533:11:1] |
Generators of the group modulo torsion |
j |
-83545234898944/39675 |
j-invariant |
L |
3.9334991856595 |
L(r)(E,1)/r! |
Ω |
0.53707034819203 |
Real period |
R |
1.8309981173779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58305e1 |
Quadratic twists by: 13 |