Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200cc |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-101857280000 = -1 · 214 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1174208,490131712] |
[a1,a2,a3,a4,a6] |
Generators |
[-592:31264:1] [626:2:1] |
Generators of the group modulo torsion |
j |
-69938968292940625/39788 |
j-invariant |
L |
8.4256620069503 |
L(r)(E,1)/r! |
Ω |
0.65081373292554 |
Real period |
R |
3.2365873600733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10150o2 81200bt2 |
Quadratic twists by: -4 5 |