Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280o |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1035763200 = 29 · 37 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-266403,52924502] |
[a1,a2,a3,a4,a6] |
Generators |
[334:1098:1] |
Generators of the group modulo torsion |
j |
5602005828691208/2775 |
j-invariant |
L |
3.0681866782723 |
L(r)(E,1)/r! |
Ω |
0.94762183443417 |
Real period |
R |
3.2377754150228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53280bq4 106560cy4 17760v2 |
Quadratic twists by: -4 8 -3 |