Atkin-Lehner |
2+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650i |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1671576200 = -1 · 23 · 52 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 1 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2752,56296] |
[a1,a2,a3,a4,a6] |
Generators |
[5:204:1] |
Generators of the group modulo torsion |
j |
-92218437082305/66863048 |
j-invariant |
L |
2.1749754912457 |
L(r)(E,1)/r! |
Ω |
1.4830502335132 |
Real period |
R |
0.18331943872304 |
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 |
20650bf1 |
Quadratic twists by: 5 |