Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950z |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60277366822500000 = 25 · 314 · 57 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165042,-22903884] |
[a1,a2,a3,a4,a6] |
Generators |
[4494:60447:8] |
Generators of the group modulo torsion |
j |
43647670634329/5291840160 |
j-invariant |
L |
4.5484914413289 |
L(r)(E,1)/r! |
Ω |
0.23874538248845 |
Real period |
R |
4.7629103795852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650bc2 6390w2 |
Quadratic twists by: -3 5 |