Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800ck |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4600000000000000 = -1 · 215 · 514 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3700,3262000] |
[a1,a2,a3,a4,a6] |
Generators |
[-3633:15463:27] |
Generators of the group modulo torsion |
j |
10941048/8984375 |
j-invariant |
L |
5.2373675858279 |
L(r)(E,1)/r! |
Ω |
0.33944538648416 |
Real period |
R |
7.7145953286827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36800bw3 18400e4 7360t4 |
Quadratic twists by: -4 8 5 |