Atkin-Lehner |
2+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77168b |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
458069248 = 28 · 72 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3415,76806] |
[a1,a2,a3,a4,a6] |
Generators |
[25:84:1] |
Generators of the group modulo torsion |
j |
17205047298000/1789333 |
j-invariant |
L |
4.460362164823 |
L(r)(E,1)/r! |
Ω |
1.5981891011946 |
Real period |
R |
1.3954425553062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38584f2 |
Quadratic twists by: -4 |