Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610z |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
126815928750 = 2 · 38 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5828,-168919] |
[a1,a2,a3,a4,a6] |
j |
30025133704441/173958750 |
j-invariant |
L |
4.3728744327531 |
L(r)(E,1)/r! |
Ω |
0.54660930409432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870l2 |
Quadratic twists by: -3 |