Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712ci |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-11284115006947328 = -1 · 219 · 73 · 137 |
Discriminant |
Eigenvalues |
2- 3 -4 7+ -1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35828,4394000] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
4.4844514920812 |
L(r)(E,1)/r! |
Ω |
0.28027821797568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712bm1 18928s1 5824bf1 |
Quadratic twists by: -4 8 13 |