Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950d |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3310834373437500 = 22 · 39 · 58 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31637292,-68485229884] |
[a1,a2,a3,a4,a6] |
Generators |
[-4322021:2170448:1331] |
Generators of the group modulo torsion |
j |
11387025941627437947/10765300 |
j-invariant |
L |
3.0710257773283 |
L(r)(E,1)/r! |
Ω |
0.063657521930664 |
Real period |
R |
6.0303670410496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40950cy2 8190bf4 |
Quadratic twists by: -3 5 |