Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240w |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-2240 = -1 · 26 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[8:23:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
3.541711912112 |
L(r)(E,1)/r! |
Ω |
1.5592017604481 |
Real period |
R |
2.2714904523287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2240m1 560c1 20160du1 11200cn1 |
Quadratic twists by: -4 8 -3 5 |