Atkin-Lehner |
3- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11439f |
Isogeny class |
Conductor |
11439 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
28723329 = 36 · 312 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 2 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101,316] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:23:1] |
Generators of the group modulo torsion |
j |
154854153/39401 |
j-invariant |
L |
2.6998084911706 |
L(r)(E,1)/r! |
Ω |
1.9661438808454 |
Real period |
R |
1.3731489935568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1271a1 |
Quadratic twists by: -3 |