Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360de |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-208757977042728960 = -1 · 211 · 38 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50160,-21536460] |
[a1,a2,a3,a4,a6] |
Generators |
[948:29646:1] |
Generators of the group modulo torsion |
j |
57925453822/866412855 |
j-invariant |
L |
10.25516018758 |
L(r)(E,1)/r! |
Ω |
0.15472123128465 |
Real period |
R |
4.1425957429308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bu3 18480i4 |
Quadratic twists by: -4 -7 |