Atkin-Lehner |
13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11323b |
Isogeny class |
Conductor |
11323 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-9236518953883 = -1 · 1310 · 67 |
Discriminant |
Eigenvalues |
-2 2 -2 -2 0 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7154,277396] |
[a1,a2,a3,a4,a6] |
Generators |
[61:253:1] |
Generators of the group modulo torsion |
j |
-8390176768/1913587 |
j-invariant |
L |
2.461835215692 |
L(r)(E,1)/r! |
Ω |
0.69671563150479 |
Real period |
R |
1.7667432050971 |
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 |
101907g1 871a1 |
Quadratic twists by: -3 13 |