Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20812f |
Isogeny class |
Conductor |
20812 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2566080 |
Modular degree for the optimal curve |
Δ |
-2063706604528253696 = -1 · 28 · 119 · 434 |
Discriminant |
Eigenvalues |
2- -3 -3 -4 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38630944,92416861636] |
[a1,a2,a3,a4,a6] |
Generators |
[2420:114466:1] |
Generators of the group modulo torsion |
j |
-10562228118355968/3418801 |
j-invariant |
L |
1.5079530062 |
L(r)(E,1)/r! |
Ω |
0.21060192702007 |
Real period |
R |
0.29834188199211 |
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 |
83248v1 20812c1 |
Quadratic twists by: -4 -11 |