Atkin-Lehner |
2+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90506b |
Isogeny class |
Conductor |
90506 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
406000 |
Modular degree for the optimal curve |
Δ |
-70188407978624 = -1 · 27 · 13 · 596 |
Discriminant |
Eigenvalues |
2+ -3 -1 1 2 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9355,-530363] |
[a1,a2,a3,a4,a6] |
Generators |
[16889:2186326:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
2.6589128643764 |
L(r)(E,1)/r! |
Ω |
0.23486824135347 |
Real period |
R |
5.6604350402699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26b1 |
Quadratic twists by: -59 |