Atkin-Lehner |
2+ 3+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30090a |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-279679027500 = -1 · 22 · 38 · 54 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,542,-24752] |
[a1,a2,a3,a4,a6] |
Generators |
[43:262:1] |
Generators of the group modulo torsion |
j |
17557754317271/279679027500 |
j-invariant |
L |
3.7650454214601 |
L(r)(E,1)/r! |
Ω |
0.47685825002384 |
Real period |
R |
1.9738808237416 |
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 |
90270bf2 |
Quadratic twists by: -3 |