Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bk |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
41520429931640625 = 38 · 512 · 72 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-647105,-199957728] |
[a1,a2,a3,a4,a6] |
Generators |
[-3746:5595:8] |
Generators of the group modulo torsion |
j |
2630872462131649/3645140625 |
j-invariant |
L |
2.3066787106601 |
L(r)(E,1)/r! |
Ω |
0.16834183369582 |
Real period |
R |
3.4255874787888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12075c2 7245s2 |
Quadratic twists by: -3 5 |