Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13467h |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
14960 |
Modular degree for the optimal curve |
Δ |
-53279263161 = -1 · 311 · 673 |
Discriminant |
Eigenvalues |
-1 3- -3 -1 -6 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,543,10026] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:35:1] [39:282:1] |
Generators of the group modulo torsion |
j |
58863869/177147 |
j-invariant |
L |
4.2642883930896 |
L(r)(E,1)/r! |
Ω |
0.79018730325518 |
Real period |
R |
0.24529790569456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40401i1 13467c1 |
Quadratic twists by: -3 -67 |