Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70560ca |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-11619182395699200 = -1 · 212 · 39 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74088,9335088] |
[a1,a2,a3,a4,a6] |
j |
-96768/25 |
j-invariant |
L |
3.0637128633932 |
L(r)(E,1)/r! |
Ω |
0.3829641053103 |
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 |
70560b1 70560j1 70560cn1 |
Quadratic twists by: -4 -3 -7 |