Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112bc |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-156924320242915008 = -1 · 26 · 311 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,92463,-15688820] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3942:1] |
Generators of the group modulo torsion |
j |
15926924096/28588707 |
j-invariant |
L |
3.1744408185746 |
L(r)(E,1)/r! |
Ω |
0.16987682267394 |
Real period |
R |
4.6716802925312 |
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 |
14112ci1 28224cr2 4704bg1 2016e1 |
Quadratic twists by: -4 8 -3 -7 |