Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3075i |
Isogeny class |
Conductor |
3075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10637578125 = -1 · 34 · 57 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,474,-2927] |
[a1,a2,a3,a4,a6] |
j |
756058031/680805 |
j-invariant |
L |
2.8153241521725 |
L(r)(E,1)/r! |
Ω |
0.70383103804313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49200bo2 9225y2 615a2 126075b2 |
Quadratic twists by: -4 -3 5 41 |