Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386s |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
592333765816464 = 24 · 310 · 76 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43668,-3300480] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:507:1] |
Generators of the group modulo torsion |
j |
107375065777/6906384 |
j-invariant |
L |
3.551296554195 |
L(r)(E,1)/r! |
Ω |
0.33159428920172 |
Real period |
R |
2.6774409797745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997843 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21462bb2 1314c2 |
Quadratic twists by: -3 -7 |