Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950dk |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
604579248000 = 27 · 33 · 53 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10610,421617] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:935:1] |
Generators of the group modulo torsion |
j |
39134312784351/179134592 |
j-invariant |
L |
9.4234143921807 |
L(r)(E,1)/r! |
Ω |
0.92044823379777 |
Real period |
R |
0.18281881677236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40950o2 40950m2 |
Quadratic twists by: -3 5 |