Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ev |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0727270423101E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25604033,-1868700063] |
[a1,a2,a3,a4,a6] |
Generators |
[-441994256:-75555655875:571787] |
Generators of the group modulo torsion |
j |
453198971846635561/261896250564000 |
j-invariant |
L |
5.6726467259607 |
L(r)(E,1)/r! |
Ω |
0.073362656227057 |
Real period |
R |
9.6654194003743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cy2 15600cd2 12480cm2 |
Quadratic twists by: -4 8 5 |