Atkin-Lehner |
37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
64343a |
Isogeny class |
Conductor |
64343 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2741472 |
Modular degree for the optimal curve |
Δ |
-9856112279579459 = -1 · 377 · 473 |
Discriminant |
Eigenvalues |
2 3 -1 -4 -2 -1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2596993,-1610854043] |
[a1,a2,a3,a4,a6] |
Generators |
[171622309597771340091788645061596657817958258946321588071868970051137500730488485584871008893474699950:14582180422515017905360924194500230678935931514632714057855090430966795558584836817670226776466107628109:22613128146997755190005412919667819285632460483676153447195608637964953016149086432547925059875000] |
Generators of the group modulo torsion |
j |
-754963064303616/3841451 |
j-invariant |
L |
18.419908523415 |
L(r)(E,1)/r! |
Ω |
0.059463673016737 |
Real period |
R |
154.88370957366 |
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 |
1739a1 |
Quadratic twists by: 37 |