Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368p |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-58692501504 = -1 · 215 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,216,-11664] |
[a1,a2,a3,a4,a6] |
Generators |
[20:16:1] |
Generators of the group modulo torsion |
j |
270840023/14329224 |
j-invariant |
L |
3.6261379089514 |
L(r)(E,1)/r! |
Ω |
0.53206557965153 |
Real period |
R |
1.7038021475314 |
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 |
546d1 17472cq1 13104by1 109200gb1 |
Quadratic twists by: -4 8 -3 5 |