Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bq |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-41590290977235 = -1 · 34 · 5 · 73 · 116 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22524,-1339439] |
[a1,a2,a3,a4,a6] |
Generators |
[1691:68412:1] |
Generators of the group modulo torsion |
j |
-3684159557072623/121254492645 |
j-invariant |
L |
8.8470577438471 |
L(r)(E,1)/r! |
Ω |
0.19447787330489 |
Real period |
R |
5.6864166435892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105bd2 |
Quadratic twists by: -7 |