Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cl |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
-163652533655625000 = -1 · 23 · 32 · 57 · 74 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4202045,-3315831975] |
[a1,a2,a3,a4,a6] |
Generators |
[2440:29755:1] |
Generators of the group modulo torsion |
j |
-3417540386314978832881/68160155625000 |
j-invariant |
L |
14.062051409386 |
L(r)(E,1)/r! |
Ω |
0.05272345523515 |
Real period |
R |
0.52919323127363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730by1 |
Quadratic twists by: -7 |