Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640k |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-470601060450554880 = -1 · 210 · 32 · 5 · 78 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19320,-32995620] |
[a1,a2,a3,a4,a6] |
Generators |
[192941525:-21440488216:15625] |
Generators of the group modulo torsion |
j |
439608956/259416045 |
j-invariant |
L |
6.624816528502 |
L(r)(E,1)/r! |
Ω |
0.13821404394593 |
Real period |
R |
11.982893237216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
840g4 |
Quadratic twists by: -11 |