Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264b |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
10027008 = 216 · 32 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193,-959] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:3:1] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
3.0865936240075 |
L(r)(E,1)/r! |
Ω |
1.2813047440605 |
Real period |
R |
1.2044728774772 |
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 |
3264w1 408a1 9792q1 81600dx1 |
Quadratic twists by: -4 8 -3 5 |