Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
28440h |
Isogeny class |
Conductor |
28440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-862755840 = -1 · 210 · 33 · 5 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-627,6206] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:96:1] |
Generators of the group modulo torsion |
j |
-985967532/31205 |
j-invariant |
L |
5.4654381209652 |
L(r)(E,1)/r! |
Ω |
1.5738164525017 |
Real period |
R |
1.7363645272221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56880e1 28440a1 |
Quadratic twists by: -4 -3 |