Atkin-Lehner |
2- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550y |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-18298906250000 = -1 · 24 · 510 · 17 · 832 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -4 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-570013,-165881469] |
[a1,a2,a3,a4,a6] |
Generators |
[76899231:1633765728:68921] |
Generators of the group modulo torsion |
j |
-2097384228460825/1873808 |
j-invariant |
L |
8.251052666504 |
L(r)(E,1)/r! |
Ω |
0.086875704941028 |
Real period |
R |
11.87192189211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550q1 |
Quadratic twists by: 5 |