Atkin-Lehner |
5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87725w |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-6045527053038369875 = -1 · 53 · 119 · 295 |
Discriminant |
Eigenvalues |
0 -1 5- 0 11+ -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,150847,-116178492] |
[a1,a2,a3,a4,a6] |
j |
1287913472/20511149 |
j-invariant |
L |
0.46689589944774 |
L(r)(E,1)/r! |
Ω |
0.11672393978709 |
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 |
87725v1 87725y1 |
Quadratic twists by: 5 -11 |