Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032r |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-49152403031472 = -1 · 24 · 39 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7128,-409185] |
[a1,a2,a3,a4,a6] |
Generators |
[14260905:138444202:91125] |
Generators of the group modulo torsion |
j |
-127179030528/156075049 |
j-invariant |
L |
9.047825263383 |
L(r)(E,1)/r! |
Ω |
0.24822227736461 |
Real period |
R |
9.1126241362117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14508a1 58032s1 |
Quadratic twists by: -4 -3 |