Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550k |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3001556250000000000 = 210 · 34 · 514 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16500025,-25804086875] |
[a1,a2,a3,a4,a6] |
Generators |
[1061945:83067053:125] |
Generators of the group modulo torsion |
j |
31794905164720991157649/192099600000000 |
j-invariant |
L |
3.0599713535341 |
L(r)(E,1)/r! |
Ω |
0.074908061457623 |
Real period |
R |
10.212423382713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400ge2 34650dk2 2310r2 80850cn2 |
Quadratic twists by: -4 -3 5 -7 |