Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240u |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
646272 |
Modular degree for the optimal curve |
Δ |
1032188877029888000 = 212 · 53 · 1710 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -1 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-668168,204459408] |
[a1,a2,a3,a4,a6] |
j |
3995136/125 |
j-invariant |
L |
2.2044403834153 |
L(r)(E,1)/r! |
Ω |
0.27555504798327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240a1 92480br1 46240bj1 |
Quadratic twists by: -4 8 17 |