Atkin-Lehner |
3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103935f |
Isogeny class |
Conductor |
103935 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
308529751950225 = 32 · 52 · 138 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150160,-22443088] |
[a1,a2,a3,a4,a6] |
Generators |
[269556:6242293:343] |
Generators of the group modulo torsion |
j |
77575852685449/63920025 |
j-invariant |
L |
3.9524278154505 |
L(r)(E,1)/r! |
Ω |
0.24253948809197 |
Real period |
R |
8.1480088543369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056803 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7995b2 |
Quadratic twists by: 13 |