Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400cl |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21424026960000000 = 210 · 38 · 57 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78408,-4645188] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1944:1] |
Generators of the group modulo torsion |
j |
3331888019716/1339001685 |
j-invariant |
L |
5.7512251551238 |
L(r)(E,1)/r! |
Ω |
0.29542012485766 |
Real period |
R |
2.4334941455878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280r3 |
Quadratic twists by: 5 |