Atkin-Lehner |
2- 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75348a |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2452602716928 = 28 · 37 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6159,170102] |
[a1,a2,a3,a4,a6] |
Generators |
[11:322:1] |
Generators of the group modulo torsion |
j |
138448046032/13141947 |
j-invariant |
L |
7.5485545301451 |
L(r)(E,1)/r! |
Ω |
0.7927906969794 |
Real period |
R |
0.79345811330424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25116a2 |
Quadratic twists by: -3 |