Atkin-Lehner |
2- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320u |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1499004620800 = 212 · 52 · 172 · 373 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33943765,76129449437] |
[a1,a2,a3,a4,a6] |
Generators |
[3364:5:1] |
Generators of the group modulo torsion |
j |
1055951115028631268622336/365967925 |
j-invariant |
L |
5.9337657683733 |
L(r)(E,1)/r! |
Ω |
0.35437289863685 |
Real period |
R |
1.3953676553752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3145b2 |
Quadratic twists by: -4 |