Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584f |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1794559492096 = -1 · 214 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 1 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-70531] |
[a1,a2,a3,a4,a6] |
Generators |
[774548:3148593:12167] |
Generators of the group modulo torsion |
j |
-7168/19 |
j-invariant |
L |
8.3637034383866 |
L(r)(E,1)/r! |
Ω |
0.33916643864836 |
Real period |
R |
8.2198614849314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cc1 7448o1 59584bm1 |
Quadratic twists by: -4 8 -7 |