Atkin-Lehner |
2+ 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440g |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9607520160000 = 28 · 36 · 54 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10540,-385388] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:130:1] |
Generators of the group modulo torsion |
j |
505879153536976/37529375625 |
j-invariant |
L |
5.6183513311432 |
L(r)(E,1)/r! |
Ω |
0.47338759517541 |
Real period |
R |
2.9670989419682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880bc2 103320ba2 |
Quadratic twists by: -4 -3 |