Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216l |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
459984 = 24 · 3 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] [0:2:1] |
Generators of the group modulo torsion |
j |
49948672/28749 |
j-invariant |
L |
4.037504528689 |
L(r)(E,1)/r! |
Ω |
2.4775188839075 |
Real period |
R |
1.6296564094487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432r1 49728bw1 18648g1 43512bg1 |
Quadratic twists by: -4 8 -3 -7 |