Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230l |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-5147288314112000 = -1 · 211 · 53 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-258661,50730241] |
[a1,a2,a3,a4,a6] |
Generators |
[738:15815:1] |
Generators of the group modulo torsion |
j |
-79290863149681/213248000 |
j-invariant |
L |
8.5581604463753 |
L(r)(E,1)/r! |
Ω |
0.43214735572938 |
Real period |
R |
0.22504319872587 |
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 |
101150e1 1190f1 |
Quadratic twists by: 5 17 |