Atkin-Lehner |
2+ 3+ 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35670a |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-192608176482000 = -1 · 24 · 34 · 53 · 294 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4202,-657692] |
[a1,a2,a3,a4,a6] |
Generators |
[136:-1634:1] [81:431:1] |
Generators of the group modulo torsion |
j |
8202200010434711/192608176482000 |
j-invariant |
L |
5.3380540704668 |
L(r)(E,1)/r! |
Ω |
0.27453537042656 |
Real period |
R |
2.4304946855179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107010w2 |
Quadratic twists by: -3 |