Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430ba |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-459364058496000 = -1 · 210 · 39 · 53 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14123,1220347] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-790:1] |
Generators of the group modulo torsion |
j |
-15826484900043/23338112000 |
j-invariant |
L |
8.8635566794032 |
L(r)(E,1)/r! |
Ω |
0.47373443978118 |
Real period |
R |
0.9354984496691 |
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 |
38430d1 |
Quadratic twists by: -3 |