Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304k |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
177335631872 = 216 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1505,-10241] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:112:1] [-14:91:1] |
Generators of the group modulo torsion |
j |
5756278756/2705927 |
j-invariant |
L |
3.7720039890626 |
L(r)(E,1)/r! |
Ω |
0.80233171692637 |
Real period |
R |
0.78355039224794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304z2 1288d2 92736cs2 72128h2 |
Quadratic twists by: -4 8 -3 -7 |