Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200r |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
5.534900853769E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392106175,-2988502373250] |
[a1,a2,a3,a4,a6] |
Generators |
[245412310:4963091175:10648] |
Generators of the group modulo torsion |
j |
1666766511378391624080336/138372521344225 |
j-invariant |
L |
5.1910662961465 |
L(r)(E,1)/r! |
Ω |
0.033927248235615 |
Real period |
R |
8.5003231031524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26600s2 10640f2 |
Quadratic twists by: -4 5 |