Atkin-Lehner |
2- 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cc |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
2745225000000 = 26 · 33 · 58 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28713,1859031] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1772:1] |
Generators of the group modulo torsion |
j |
167548422911689/175694400 |
j-invariant |
L |
8.5240681916628 |
L(r)(E,1)/r! |
Ω |
0.80366434339104 |
Real period |
R |
0.88387524172444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430l1 |
Quadratic twists by: 5 |