Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610w |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
901802160000 = 27 · 36 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42788,3417031] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:2437:1] [13:1685:1] |
Generators of the group modulo torsion |
j |
11883725994404601/1237040000 |
j-invariant |
L |
10.676681670432 |
L(r)(E,1)/r! |
Ω |
0.84941811891524 |
Real period |
R |
0.89781475381109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3290c2 |
Quadratic twists by: -3 |