Atkin-Lehner |
3- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55341c |
Isogeny class |
Conductor |
55341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
242688 |
Modular degree for the optimal curve |
Δ |
-54379970828469 = -1 · 314 · 11 · 13 · 433 |
Discriminant |
Eigenvalues |
1 3- 3 -3 11+ 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-113958,14839717] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:923:1] |
Generators of the group modulo torsion |
j |
-224508497478606433/74595296061 |
j-invariant |
L |
7.5839422597983 |
L(r)(E,1)/r! |
Ω |
0.61691229341389 |
Real period |
R |
3.0733470303429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18447e1 |
Quadratic twists by: -3 |