Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610n |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1109639376562500 = 22 · 38 · 58 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79164,8441820] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:4187:1] |
Generators of the group modulo torsion |
j |
75263161977275329/1522139062500 |
j-invariant |
L |
4.743840929603 |
L(r)(E,1)/r! |
Ω |
0.48952969775454 |
Real period |
R |
0.60566306693992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870s2 |
Quadratic twists by: -3 |