Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640f |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
982153418400000000 = 211 · 32 · 58 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3602936,-2630652660] |
[a1,a2,a3,a4,a6] |
Generators |
[-7352714404:-1203096875:6644672] |
Generators of the group modulo torsion |
j |
1425631925916578/270703125 |
j-invariant |
L |
5.6416082401905 |
L(r)(E,1)/r! |
Ω |
0.10958228604666 |
Real period |
R |
12.870712135598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240q4 |
Quadratic twists by: -11 |