Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bk |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
93627786715344 = 24 · 39 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1113966,452538765] |
[a1,a2,a3,a4,a6] |
Generators |
[582:1161:1] |
Generators of the group modulo torsion |
j |
4126102419456/2527 |
j-invariant |
L |
5.5226468643307 |
L(r)(E,1)/r! |
Ω |
0.49615273945344 |
Real period |
R |
2.7827352469598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032c1 9576s1 |
Quadratic twists by: -3 -7 |