Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840u |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-16866160640 = -1 · 212 · 5 · 77 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 3 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,392,5488] |
[a1,a2,a3,a4,a6] |
Generators |
[28:196:1] |
Generators of the group modulo torsion |
j |
13824/35 |
j-invariant |
L |
2.3624042751811 |
L(r)(E,1)/r! |
Ω |
0.86276826779442 |
Real period |
R |
0.34227097289118 |
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 |
7840t1 15680dv1 70560bq1 39200r1 |
Quadratic twists by: -4 8 -3 5 |