Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20280j |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
33211047168000 = 211 · 310 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68280,-6839028] |
[a1,a2,a3,a4,a6] |
Generators |
[2522:13545:8] |
Generators of the group modulo torsion |
j |
7824392006186/7381125 |
j-invariant |
L |
5.7213938666507 |
L(r)(E,1)/r! |
Ω |
0.2953590229311 |
Real period |
R |
6.4569934920473 |
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 |
40560bf2 60840bp2 101400do2 20280r2 |
Quadratic twists by: -4 -3 5 13 |