Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400p |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
459000000000 = 29 · 33 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67875,-6806250] |
[a1,a2,a3,a4,a6] |
Generators |
[141442:2038646:343] |
Generators of the group modulo torsion |
j |
1280824056/17 |
j-invariant |
L |
6.0485827852114 |
L(r)(E,1)/r! |
Ω |
0.29578247585039 |
Real period |
R |
10.224714545035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cq2 122400cn2 122400cl2 |
Quadratic twists by: -4 -3 5 |