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 |
Δ |
-2296350000000000000 = -1 · 213 · 38 · 514 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392008,119462512] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:11178:1] |
Generators of the group modulo torsion |
j |
-104094944089921/35880468750 |
j-invariant |
L |
3.6220992790862 |
L(r)(E,1)/r! |
Ω |
0.2443450390674 |
Real period |
R |
3.7059267633495 |
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 |
1050g6 33600gt5 25200er5 1680t6 |
Quadratic twists by: -4 8 -3 5 |