Atkin-Lehner |
2- 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778ca |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-658589244241114368 = -1 · 28 · 36 · 710 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,62053,38573515] |
[a1,a2,a3,a4,a6] |
Generators |
[211:-7918:1] [-223:3800:1] |
Generators of the group modulo torsion |
j |
36248587917075351/903414601153792 |
j-invariant |
L |
11.385038795138 |
L(r)(E,1)/r! |
Ω |
0.21577879392758 |
Real period |
R |
0.65953183975534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5642g2 |
Quadratic twists by: -3 |