Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16240m |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-2.4967332087442E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 -4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7171499,1773229085] |
[a1,a2,a3,a4,a6] |
Generators |
[23108:3536405:1] |
Generators of the group modulo torsion |
j |
9958490884690134695936/6095540060410757075 |
j-invariant |
L |
2.4070162234325 |
L(r)(E,1)/r! |
Ω |
0.073602741125309 |
Real period |
R |
1.816822600348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1015b1 64960bq1 81200bv1 113680bx1 |
Quadratic twists by: -4 8 5 -7 |