Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24920f |
Isogeny class |
Conductor |
24920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-170404156160 = -1 · 28 · 5 · 75 · 892 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -1 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1961,-39541] |
[a1,a2,a3,a4,a6] |
Generators |
[425:8722:1] |
Generators of the group modulo torsion |
j |
-3259402353664/665641235 |
j-invariant |
L |
5.9626899888938 |
L(r)(E,1)/r! |
Ω |
0.35480445184757 |
Real period |
R |
0.84027835020732 |
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 |
49840a1 124600a1 |
Quadratic twists by: -4 5 |