Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784h |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
79240761385984 = 210 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11011,-119790] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:570:1] |
Generators of the group modulo torsion |
j |
81385668/43681 |
j-invariant |
L |
2.6183423078267 |
L(r)(E,1)/r! |
Ω |
0.49593399357041 |
Real period |
R |
2.6398092707615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18392d2 3344a2 |
Quadratic twists by: -4 -11 |