Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cp |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1328641006593245184 = -1 · 217 · 35 · 77 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 4 6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317536,-88318208] |
[a1,a2,a3,a4,a6] |
j |
-7347774183121/2757144096 |
j-invariant |
L |
2.369131487453 |
L(r)(E,1)/r! |
Ω |
0.098713813774973 |
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 |
10878bv1 12432by1 |
Quadratic twists by: -4 -7 |