Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384f |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
1551312 = 24 · 36 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35,66] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] |
Generators of the group modulo torsion |
j |
304900096/96957 |
j-invariant |
L |
2.3964531402293 |
L(r)(E,1)/r! |
Ω |
2.4745440296668 |
Real period |
R |
1.9368846231861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192o1 25536di1 19152bb1 44688bf1 |
Quadratic twists by: -4 8 -3 -7 |