Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400bz |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1934507616000000000 = 214 · 3 · 59 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3237408,2242125312] |
[a1,a2,a3,a4,a6] |
Generators |
[5818:424626:1] |
Generators of the group modulo torsion |
j |
58632198501774169/30226681500 |
j-invariant |
L |
4.1130075719316 |
L(r)(E,1)/r! |
Ω |
0.25934799991098 |
Real period |
R |
7.9295147305742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10050bf3 16080u4 |
Quadratic twists by: -4 5 |