Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7052a |
Isogeny class |
Conductor |
7052 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-28208 = -1 · 24 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 -1 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
-16384000/1763 |
j-invariant |
L |
4.640437154823 |
L(r)(E,1)/r! |
Ω |
3.6409454595129 |
Real period |
R |
1.2745143277823 |
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 |
28208k1 112832o1 63468a1 |
Quadratic twists by: -4 8 -3 |