Atkin-Lehner |
2- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52288t |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
-768395052941312 = -1 · 215 · 193 · 434 |
Discriminant |
Eigenvalues |
2- 1 0 -3 2 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-307553,65560127] |
[a1,a2,a3,a4,a6] |
Generators |
[-589:6536:1] [323:152:1] |
Generators of the group modulo torsion |
j |
-98182727434637000/23449556059 |
j-invariant |
L |
10.497258093119 |
L(r)(E,1)/r! |
Ω |
0.49196788322045 |
Real period |
R |
0.44452673517708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288n1 26144a1 |
Quadratic twists by: -4 8 |