Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.0180596739058E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18777208,-32048917088] |
[a1,a2,a3,a4,a6] |
Generators |
[1258262186313942:6727711942390250:250166088901] |
Generators of the group modulo torsion |
j |
-3111705953492/85766121 |
j-invariant |
L |
5.3446811157799 |
L(r)(E,1)/r! |
Ω |
0.036203937168985 |
Real period |
R |
18.453383573164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ce2 58800eh2 8400bb2 |
Quadratic twists by: -4 5 -7 |