Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800a |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1224000000 = 29 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40808,3186612] |
[a1,a2,a3,a4,a6] |
Generators |
[92:450:1] |
Generators of the group modulo torsion |
j |
939464338184/153 |
j-invariant |
L |
5.165876116148 |
L(r)(E,1)/r! |
Ω |
1.204898609358 |
Real period |
R |
1.0718487173998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800s4 81600hv4 122400dm4 1632l3 |
Quadratic twists by: -4 8 -3 5 |