Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600bm |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34426880000000 = 218 · 57 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44033,-3559937] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:61:1] [242:123:1] |
Generators of the group modulo torsion |
j |
2305199161/8405 |
j-invariant |
L |
7.7012431575985 |
L(r)(E,1)/r! |
Ω |
0.32964720135596 |
Real period |
R |
11.681038282608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600e2 16400n2 13120v2 |
Quadratic twists by: -4 8 5 |