Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400bp |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-12042240000000 = -1 · 220 · 3 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3992,134512] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:350:1] |
Generators of the group modulo torsion |
j |
109902239/188160 |
j-invariant |
L |
3.6220992790862 |
L(r)(E,1)/r! |
Ω |
0.48869007813481 |
Real period |
R |
1.8529633816747 |
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 |
1050g1 33600gt1 25200er1 1680t1 |
Quadratic twists by: -4 8 -3 5 |