Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112z |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-880875299928752128 = -1 · 214 · 710 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120589,-42181454] |
[a1,a2,a3,a4,a6] |
Generators |
[78755:2106126:125] |
Generators of the group modulo torsion |
j |
402437650887/1827958132 |
j-invariant |
L |
3.9202449663808 |
L(r)(E,1)/r! |
Ω |
0.14164497716359 |
Real period |
R |
6.9191386905451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14014d4 16016g4 |
Quadratic twists by: -4 -7 |