Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5236d |
Isogeny class |
Conductor |
5236 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-11524561664 = -1 · 28 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,539,1697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:34:1] |
Generators of the group modulo torsion |
j |
67521806336/45017819 |
j-invariant |
L |
3.0026617951755 |
L(r)(E,1)/r! |
Ω |
0.79978284686041 |
Real period |
R |
0.15643109704521 |
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 |
20944e1 83776l1 47124p1 36652o1 |
Quadratic twists by: -4 8 -3 -7 |