Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304w |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14476378112 = 218 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7916,-271024] |
[a1,a2,a3,a4,a6] |
Generators |
[3396:22960:27] |
Generators of the group modulo torsion |
j |
209267191953/55223 |
j-invariant |
L |
3.3816121261542 |
L(r)(E,1)/r! |
Ω |
0.50615086774211 |
Real period |
R |
6.6810359157129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304h3 2576l3 92736dx4 72128bw4 |
Quadratic twists by: -4 8 -3 -7 |