Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368r |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-35782656 = -1 · 217 · 3 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,624] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:32:1] |
Generators of the group modulo torsion |
j |
-47045881/8736 |
j-invariant |
L |
3.3914482816975 |
L(r)(E,1)/r! |
Ω |
1.9795639369726 |
Real period |
R |
0.42830749469049 |
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 |
546b1 17472db1 13104cb1 109200fn1 |
Quadratic twists by: -4 8 -3 5 |