Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bw |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3785600000000 = 213 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30408,-2028688] |
[a1,a2,a3,a4,a6] |
Generators |
[482:9750:1] |
Generators of the group modulo torsion |
j |
48587168449/59150 |
j-invariant |
L |
8.0468368961914 |
L(r)(E,1)/r! |
Ω |
0.36156230584389 |
Real period |
R |
2.7819675772788 |
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 |
4550d2 7280p2 |
Quadratic twists by: -4 5 |