Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cf |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-7196501917696 = -1 · 214 · 7 · 137 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 4 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3605,-154829] |
[a1,a2,a3,a4,a6] |
j |
-65536/91 |
j-invariant |
L |
1.1727561525346 |
L(r)(E,1)/r! |
Ω |
0.29318902769213 |
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 |
75712bg1 18928p1 5824bc1 |
Quadratic twists by: -4 8 13 |