Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bj |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3130478620022812500 = 22 · 320 · 57 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7692088,-8214112219] |
[a1,a2,a3,a4,a6] |
Generators |
[99723:3119249:27] |
Generators of the group modulo torsion |
j |
3221338935539503699129/200350631681460 |
j-invariant |
L |
7.5607348982737 |
L(r)(E,1)/r! |
Ω |
0.090654655963626 |
Real period |
R |
10.42518833962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450l4 6630j3 |
Quadratic twists by: -3 5 |