Atkin-Lehner |
5- 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20735m |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
20260933103125 = 55 · 112 · 133 · 293 |
Discriminant |
Eigenvalues |
-2 -3 5- -3 11+ 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-140167,20197230] |
[a1,a2,a3,a4,a6] |
Generators |
[-5559:171449:27] [10:4335:1] |
Generators of the group modulo torsion |
j |
304551713124399108096/20260933103125 |
j-invariant |
L |
2.4462897664104 |
L(r)(E,1)/r! |
Ω |
0.64895921936261 |
Real period |
R |
0.041883983759818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675h1 |
Quadratic twists by: 5 |