Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bn |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
Δ |
-593441587200 = -1 · 221 · 3 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,742,-35929] |
[a1,a2,a3,a4,a6] |
Generators |
[41:235:1] |
Generators of the group modulo torsion |
j |
1807002849335/23737663488 |
j-invariant |
L |
5.9449536737005 |
L(r)(E,1)/r! |
Ω |
0.4497453509023 |
Real period |
R |
0.62945182537856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400gx2 34650k2 11550bi2 80850gq2 |
Quadratic twists by: -4 -3 5 -7 |