Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21824m |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-45768245248 = -1 · 227 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2113,39489] |
[a1,a2,a3,a4,a6] |
Generators |
[24:45:1] |
Generators of the group modulo torsion |
j |
-3981876625/174592 |
j-invariant |
L |
7.3840431217746 |
L(r)(E,1)/r! |
Ω |
1.125243883985 |
Real period |
R |
3.2810856503501 |
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 |
21824q1 682a1 |
Quadratic twists by: -4 8 |