Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400cy |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
288 |
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 |
[-4787:121500:1] |
Generators of the group modulo torsion |
j |
453198971846635561/261896250564000 |
j-invariant |
L |
7.4295597214538 |
L(r)(E,1)/r! |
Ω |
0.074095189493029 |
Real period |
R |
1.3926454627775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ev2 1950n2 12480b2 |
Quadratic twists by: -4 8 5 |