Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550y |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-860220000000 = -1 · 28 · 36 · 57 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,183,-44659] |
[a1,a2,a3,a4,a6] |
Generators |
[50:271:1] |
Generators of the group modulo torsion |
j |
59319/75520 |
j-invariant |
L |
2.4261395139341 |
L(r)(E,1)/r! |
Ω |
0.41386751297741 |
Real period |
R |
2.9310581742454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2950k1 5310n1 |
Quadratic twists by: -3 5 |