Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
504a |
Isogeny class |
Conductor |
504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-21168 = -1 · 24 · 33 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
-55296/49 |
j-invariant |
L |
1.8034162570636 |
L(r)(E,1)/r! |
Ω |
3.500939456238 |
Real period |
R |
0.25756176015131 |
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 |
1008d1 4032a1 504d1 12600bl1 |
Quadratic twists by: -4 8 -3 5 |