Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70560t |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-7842948117096960 = -1 · 29 · 312 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1612443,-788099438] |
[a1,a2,a3,a4,a6] |
j |
-215474070728/3645 |
j-invariant |
L |
0.13397631379921 |
L(r)(E,1)/r! |
Ω |
0.06698815636922 |
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 |
70560cs1 23520bv1 70560bp1 |
Quadratic twists by: -4 -3 -7 |