Atkin-Lehner |
3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975n |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-13917919921875 = -1 · 36 · 511 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7692,317591] |
[a1,a2,a3,a4,a6] |
j |
-4419017721/1221875 |
j-invariant |
L |
1.3389677174203 |
L(r)(E,1)/r! |
Ω |
0.66948384935343 |
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 |
9775d1 17595p1 |
Quadratic twists by: -3 5 |