Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240l |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-698112000 = -1 · 211 · 33 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -4 -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80,1268] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:30:1] |
Generators of the group modulo torsion |
j |
27303838/340875 |
j-invariant |
L |
6.9324980085039 |
L(r)(E,1)/r! |
Ω |
1.1892138926041 |
Real period |
R |
0.32385997224338 |
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 |
12120l1 96960cg1 72720n1 121200a1 |
Quadratic twists by: -4 8 -3 5 |