Atkin-Lehner |
5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75205a |
Isogeny class |
Conductor |
75205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27299427848398225 = 52 · 1310 · 892 |
Discriminant |
Eigenvalues |
1 0 5+ 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75490,753975] |
[a1,a2,a3,a4,a6] |
Generators |
[13123875740742:831477576973503:1823897224232] |
Generators of the group modulo torsion |
j |
9856781069121/5655792025 |
j-invariant |
L |
7.8309944029948 |
L(r)(E,1)/r! |
Ω |
0.32041461299656 |
Real period |
R |
24.440191199587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977236 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5785b2 |
Quadratic twists by: 13 |