Atkin-Lehner |
3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2301a |
Isogeny class |
Conductor |
2301 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-559143 = -1 · 36 · 13 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 -4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7,38] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
37595375/559143 |
j-invariant |
L |
1.7704941082726 |
L(r)(E,1)/r! |
Ω |
2.1633921567179 |
Real period |
R |
1.6367759333644 |
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 |
36816u1 6903f1 57525i1 112749o1 |
Quadratic twists by: -4 -3 5 -7 |