Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400da |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11032166400000000 = 221 · 3 · 58 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3274008,2279075988] |
[a1,a2,a3,a4,a6] |
Generators |
[-1162:67200:1] |
Generators of the group modulo torsion |
j |
60643335401133841/172377600 |
j-invariant |
L |
9.0533003749307 |
L(r)(E,1)/r! |
Ω |
0.35151487310228 |
Real period |
R |
3.2193873809288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050e2 16080t2 |
Quadratic twists by: -4 5 |