Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640y |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-56349216000000 = -1 · 211 · 33 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9464,-66640] |
[a1,a2,a3,a4,a6] |
Generators |
[71:984:1] |
Generators of the group modulo torsion |
j |
34386977882/20671875 |
j-invariant |
L |
9.2440890896517 |
L(r)(E,1)/r! |
Ω |
0.36533143561773 |
Real period |
R |
4.2172158266811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640cj2 |
Quadratic twists by: -11 |