Atkin-Lehner |
13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11323a |
Isogeny class |
Conductor |
11323 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
-758641 = -1 · 132 · 672 |
Discriminant |
Eigenvalues |
1 2 1 -2 6 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23,18] |
[a1,a2,a3,a4,a6] |
Generators |
[138:400:27] |
Generators of the group modulo torsion |
j |
7433231/4489 |
j-invariant |
L |
7.8928152749524 |
L(r)(E,1)/r! |
Ω |
1.7441239234273 |
Real period |
R |
2.2626876361637 |
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 |
101907c1 11323d1 |
Quadratic twists by: -3 13 |