Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112z |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2420662999104 = 26 · 38 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6321,-178360] |
[a1,a2,a3,a4,a6] |
Generators |
[3493:206388:1] |
Generators of the group modulo torsion |
j |
5088448/441 |
j-invariant |
L |
4.5558493262702 |
L(r)(E,1)/r! |
Ω |
0.53838961600472 |
Real period |
R |
4.2309966526456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14112bb1 28224fx2 4704u1 2016c1 |
Quadratic twists by: -4 8 -3 -7 |