Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bq |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
972504225000000 = 26 · 38 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-415813,103019531] |
[a1,a2,a3,a4,a6] |
Generators |
[25:9612:1] |
Generators of the group modulo torsion |
j |
508859562767519881/62240270400 |
j-invariant |
L |
5.9474160635183 |
L(r)(E,1)/r! |
Ω |
0.47626466920714 |
Real period |
R |
1.0406356745258 |
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 |
92400gn2 34650bj2 2310j2 80850fu2 |
Quadratic twists by: -4 -3 5 -7 |