Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cc |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1186839843750 = 2 · 34 · 59 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125033338,538119144542] |
[a1,a2,a3,a4,a6] |
Generators |
[20926:3817537:8] |
Generators of the group modulo torsion |
j |
13835063705411752927552729/75957750 |
j-invariant |
L |
11.448993463326 |
L(r)(E,1)/r! |
Ω |
0.28558145561068 |
Real period |
R |
5.0112644039069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230b3 |
Quadratic twists by: 5 |