Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ek |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.947645370368E+20 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1723167,395278463] |
[a1,a2,a3,a4,a6] |
Generators |
[391774887723:99077154251572:6128487] |
Generators of the group modulo torsion |
j |
46969655/32768 |
j-invariant |
L |
8.050703937672 |
L(r)(E,1)/r! |
Ω |
0.10674236210615 |
Real period |
R |
18.85545667817 |
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 |
78400kp4 2450p4 78400bp2 1600j4 |
Quadratic twists by: -4 8 5 -7 |