Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498cb |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
86957240888448 = 27 · 36 · 76 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-301874,63912881] |
[a1,a2,a3,a4,a6] |
Generators |
[163:4279:1] |
Generators of the group modulo torsion |
j |
35471840526793/1013888 |
j-invariant |
L |
12.853465675901 |
L(r)(E,1)/r! |
Ω |
0.56308613752963 |
Real period |
R |
0.8152435566545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8722i2 1602c2 |
Quadratic twists by: -3 -7 |