Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800bz |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-159720000 = -1 · 26 · 3 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-1238] |
[a1,a2,a3,a4,a6] |
Generators |
[27:110:1] |
Generators of the group modulo torsion |
j |
-25000000/3993 |
j-invariant |
L |
4.9890929804266 |
L(r)(E,1)/r! |
Ω |
0.62285134917046 |
Real period |
R |
0.89000957488683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dr1 26400ce1 52800dd1 |
Quadratic twists by: -4 8 5 |