Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bq |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
487265625000 = 23 · 34 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6652813,6601973531] |
[a1,a2,a3,a4,a6] |
Generators |
[1489:-728:1] |
Generators of the group modulo torsion |
j |
2084105208962185000201/31185000 |
j-invariant |
L |
5.9474160635183 |
L(r)(E,1)/r! |
Ω |
0.47626466920714 |
Real period |
R |
2.0812713490516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400gn4 34650bj4 2310j4 80850fu4 |
Quadratic twists by: -4 -3 5 -7 |