Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128bc |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1415199609710751744 = -1 · 212 · 37 · 119 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2280576,-1326842512] |
[a1,a2,a3,a4,a6] |
Generators |
[2344983616835434680358608727960766082284545303897:68349523104171074428560410314237782510649563153927:1077135477161366382541490371482399922814242441] |
Generators of the group modulo torsion |
j |
-439308781656997888/473947485891 |
j-invariant |
L |
9.3425566837802 |
L(r)(E,1)/r! |
Ω |
0.061422901596591 |
Real period |
R |
76.05108551481 |
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 |
6633i3 35376r3 |
Quadratic twists by: -4 -3 |