Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150o |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
70983656505125000 = 23 · 56 · 76 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150075,-18404875] |
[a1,a2,a3,a4,a6] |
j |
4956477625/941192 |
j-invariant |
L |
1.4745313405107 |
L(r)(E,1)/r! |
Ω |
0.24575522365122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2366j4 350d4 |
Quadratic twists by: 5 13 |