Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3050j |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-930786132812500 = -1 · 22 · 518 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24395,-67103] |
[a1,a2,a3,a4,a6] |
Generators |
[1940:52527:64] |
Generators of the group modulo torsion |
j |
102759703687719/59570312500 |
j-invariant |
L |
4.6685587812937 |
L(r)(E,1)/r! |
Ω |
0.29504631311565 |
Real period |
R |
7.9115694278541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24400u3 97600b3 27450t3 610b4 |
Quadratic twists by: -4 8 -3 5 |