Atkin-Lehner |
3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12321i |
Isogeny class |
Conductor |
12321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
94742108310611133 = 36 · 379 |
Discriminant |
Eigenvalues |
2 3- 2 3 -3 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32063349,-69881372667] |
[a1,a2,a3,a4,a6] |
Generators |
[-6248117466428759103915596945513805630655966007168420870262:74644832448740741334136278251818993932287968651123035607:1911184227143507511726904462632765385173657632483899688] |
Generators of the group modulo torsion |
j |
38477541376 |
j-invariant |
L |
10.454767535888 |
L(r)(E,1)/r! |
Ω |
0.063444990224123 |
Real period |
R |
82.392380383036 |
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 |
1369f2 12321j2 |
Quadratic twists by: -3 37 |