Atkin-Lehner |
2- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650t |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-3144865937500000 = -1 · 25 · 510 · 72 · 593 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18112,2537281] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1263:1] |
Generators of the group modulo torsion |
j |
67285486775/322034272 |
j-invariant |
L |
10.755490528313 |
L(r)(E,1)/r! |
Ω |
0.32226876620889 |
Real period |
R |
1.1124762575079 |
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 |
20650q1 |
Quadratic twists by: 5 |