Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230n |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
3718915806945920000 = 210 · 54 · 72 · 179 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3082191,2079399509] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:1570:1] |
Generators of the group modulo torsion |
j |
27306250652897/31360000 |
j-invariant |
L |
10.19362414051 |
L(r)(E,1)/r! |
Ω |
0.24802838989177 |
Real period |
R |
2.0549309183836 |
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 |
101150h1 20230p1 |
Quadratic twists by: 5 17 |