Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230j |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-541149043097600 = -1 · 218 · 52 · 75 · 173 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8554,-1157772] |
[a1,a2,a3,a4,a6] |
Generators |
[217:2569:1] |
Generators of the group modulo torsion |
j |
-14090073029577/110146355200 |
j-invariant |
L |
4.15752507549 |
L(r)(E,1)/r! |
Ω |
0.21896308079116 |
Real period |
R |
1.8987333665876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101150bp1 20230a1 |
Quadratic twists by: 5 17 |