Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574o |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-425880594881352 = -1 · 23 · 38 · 136 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4482,997719] |
[a1,a2,a3,a4,a6] |
Generators |
[391:7499:1] |
Generators of the group modulo torsion |
j |
-2062933417/88232328 |
j-invariant |
L |
9.1362781443631 |
L(r)(E,1)/r! |
Ω |
0.44050292703922 |
Real period |
R |
3.4567602860112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124722m2 246d2 |
Quadratic twists by: -3 13 |