Atkin-Lehner |
3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
16641h |
Isogeny class |
Conductor |
16641 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-16050617167257243 = -1 · 310 · 437 |
Discriminant |
Eigenvalues |
0 3- -2 2 5 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-321726,70502832] |
[a1,a2,a3,a4,a6] |
Generators |
[516:6471:1] |
Generators of the group modulo torsion |
j |
-799178752/3483 |
j-invariant |
L |
4.1906534718718 |
L(r)(E,1)/r! |
Ω |
0.39380848350167 |
Real period |
R |
1.3301686122304 |
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 |
5547d1 387a1 |
Quadratic twists by: -3 -43 |