Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488p |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
37022662656 = 216 · 33 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20859,-1159510] |
[a1,a2,a3,a4,a6] |
Generators |
[173:640:1] |
Generators of the group modulo torsion |
j |
9075706699779/334768 |
j-invariant |
L |
8.2644066166013 |
L(r)(E,1)/r! |
Ω |
0.39726210988896 |
Real period |
R |
3.4672350281553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7686l1 61488q1 |
Quadratic twists by: -4 -3 |