Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474o |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5.1031591573599E+29 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1727472114,-20435090755820] |
[a1,a2,a3,a4,a6] |
Generators |
[595002522304780427:137090746446418873403:31312467371359] |
Generators of the group modulo torsion |
j |
16622935289828142386903/14879556241816413888 |
j-invariant |
L |
5.8460913593363 |
L(r)(E,1)/r! |
Ω |
0.016129475443854 |
Real period |
R |
22.65298157399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28158m3 4446t4 |
Quadratic twists by: -3 -19 |