Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112be |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-438939648 = -1 · 212 · 37 · 72 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -6 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[8:36:1] |
Generators of the group modulo torsion |
j |
3584/3 |
j-invariant |
L |
2.6899388273989 |
L(r)(E,1)/r! |
Ω |
0.92438839655416 |
Real period |
R |
0.72749150612075 |
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 |
14112bd1 28224gm1 4704bh1 14112n1 |
Quadratic twists by: -4 8 -3 -7 |