Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10224j |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-62816256 = -1 · 215 · 33 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -3 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93,162] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
804357/568 |
j-invariant |
L |
4.973907971185 |
L(r)(E,1)/r! |
Ω |
1.2464084901889 |
Real period |
R |
0.49882402221434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1278b1 40896bk1 10224g1 |
Quadratic twists by: -4 8 -3 |