Atkin-Lehner |
13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11323c |
Isogeny class |
Conductor |
11323 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-323396203 = -1 · 136 · 67 |
Discriminant |
Eigenvalues |
-2 -2 -2 2 4 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2084,-37332] |
[a1,a2,a3,a4,a6] |
Generators |
[82:591:1] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
1.5004395458852 |
L(r)(E,1)/r! |
Ω |
0.35328024460868 |
Real period |
R |
2.1235825789624 |
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 |
101907f1 67a1 |
Quadratic twists by: -3 13 |