Atkin-Lehner |
2+ 3+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890g |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
126966900093750 = 2 · 37 · 56 · 292 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19778,914982] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1365:1] |
Generators of the group modulo torsion |
j |
855667702007610409/126966900093750 |
j-invariant |
L |
3.6517976739873 |
L(r)(E,1)/r! |
Ω |
0.56251962989115 |
Real period |
R |
3.2459291017939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670ca2 |
Quadratic twists by: -3 |