Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970bn |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
6353314098541200 = 24 · 39 · 52 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84107,-8548469] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:734:1] |
Generators of the group modulo torsion |
j |
3342904779518667/322781796400 |
j-invariant |
L |
7.426188341808 |
L(r)(E,1)/r! |
Ω |
0.28208347441804 |
Real period |
R |
0.3656417837313 |
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 |
95760cl3 11970e1 59850g3 83790cs3 |
Quadratic twists by: -4 -3 5 -7 |