Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112q |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-1.6809476981449E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1375773,57715238] |
[a1,a2,a3,a4,a6] |
Generators |
[-11569:91379826:12167] |
Generators of the group modulo torsion |
j |
2731405432/1594323 |
j-invariant |
L |
5.0662300332232 |
L(r)(E,1)/r! |
Ω |
0.10953152803652 |
Real period |
R |
11.563405815753 |
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 |
14112r1 28224fn1 4704t1 14112k1 |
Quadratic twists by: -4 8 -3 -7 |