Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536t |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5884242029568 = 210 · 36 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11835,481626] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:882:1] |
Generators of the group modulo torsion |
j |
245584534500/7882483 |
j-invariant |
L |
6.6457710614942 |
L(r)(E,1)/r! |
Ω |
0.75346128969268 |
Real period |
R |
0.73502681918718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768p2 7504h2 |
Quadratic twists by: -4 -3 |