Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400cs |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-5670000 = -1 · 24 · 34 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,63] |
[a1,a2,a3,a4,a6] |
Generators |
[3:15:1] |
Generators of the group modulo torsion |
j |
800000/567 |
j-invariant |
L |
5.2976346940617 |
L(r)(E,1)/r! |
Ω |
1.5238377527898 |
Real period |
R |
0.28970903039397 |
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 |
2100f1 33600ft1 25200fk1 8400bg1 |
Quadratic twists by: -4 8 -3 5 |