Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bp |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14881112400000000 = 210 · 3 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79416,-6278820] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:968:1] |
Generators of the group modulo torsion |
j |
30534944836/8203125 |
j-invariant |
L |
4.7630967654104 |
L(r)(E,1)/r! |
Ω |
0.29010659585811 |
Real period |
R |
2.0523045864729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999894568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
840b4 |
Quadratic twists by: -11 |