Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112s |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2016758087253504 = -1 · 29 · 314 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21021,-1814470] |
[a1,a2,a3,a4,a6] |
Generators |
[21530670:-321483610:132651] |
Generators of the group modulo torsion |
j |
23393656/45927 |
j-invariant |
L |
5.59238212701 |
L(r)(E,1)/r! |
Ω |
0.24309536412913 |
Real period |
R |
11.502445032311 |
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 |
14112t4 28224fz3 4704v4 2016h4 |
Quadratic twists by: -4 8 -3 -7 |