Atkin-Lehner |
2+ 3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752a |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1549808557056 = -1 · 210 · 310 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -6 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24,59904] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:228:1] |
Generators of the group modulo torsion |
j |
-1556068/1513484919 |
j-invariant |
L |
4.4428545906057 |
L(r)(E,1)/r! |
Ω |
0.673596535698 |
Real period |
R |
1.6489301661273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376f2 |
Quadratic twists by: -4 |