Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33660i |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-157589388000000 = -1 · 28 · 36 · 56 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13488,-35516] |
[a1,a2,a3,a4,a6] |
Generators |
[8:270:1] |
Generators of the group modulo torsion |
j |
1454115454976/844421875 |
j-invariant |
L |
5.7914190467979 |
L(r)(E,1)/r! |
Ω |
0.34133554997153 |
Real period |
R |
1.4139114837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3740b2 |
Quadratic twists by: -3 |