Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536dr |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
Δ |
-4.9570043286839E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17132449,43496608991] |
[a1,a2,a3,a4,a6] |
Generators |
[7925:636804:1] |
Generators of the group modulo torsion |
j |
-4242991426585187031506/3781894171664380023 |
j-invariant |
L |
5.449876422414 |
L(r)(E,1)/r! |
Ω |
0.08510829822817 |
Real period |
R |
0.30492669960467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536d2 6384d2 76608fn2 |
Quadratic twists by: -4 8 -3 |