Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5236c |
Isogeny class |
Conductor |
5236 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-16420096 = -1 · 28 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11+ -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
9148592/64141 |
j-invariant |
L |
2.0180133836613 |
L(r)(E,1)/r! |
Ω |
1.5994610301959 |
Real period |
R |
1.2616833705627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20944g1 83776p1 47124w1 36652j1 |
Quadratic twists by: -4 8 -3 -7 |