Atkin-Lehner |
2- 3+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7482b |
Isogeny class |
Conductor |
7482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12665065716 = -1 · 22 · 310 · 29 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,401,-4279] |
[a1,a2,a3,a4,a6] |
Generators |
[51:364:1] |
Generators of the group modulo torsion |
j |
7129993582223/12665065716 |
j-invariant |
L |
5.0497958836403 |
L(r)(E,1)/r! |
Ω |
0.66291523001737 |
Real period |
R |
3.808779505268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59856m2 22446d2 |
Quadratic twists by: -4 -3 |