Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960ba |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11871641600 = 213 · 52 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1043,11858] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:120:1] [-14:154:1] |
Generators of the group modulo torsion |
j |
89314623/8450 |
j-invariant |
L |
8.8254322561433 |
L(r)(E,1)/r! |
Ω |
1.236302814917 |
Real period |
R |
0.89232105492838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370d2 50960bm2 |
Quadratic twists by: -4 -7 |