Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418p |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-47394519845145088 = -1 · 29 · 710 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-121300,19291728] |
[a1,a2,a3,a4,a6] |
Generators |
[14306689158:111212678365:64964808] |
Generators of the group modulo torsion |
j |
-698765265625/167782912 |
j-invariant |
L |
6.0412556114687 |
L(r)(E,1)/r! |
Ω |
0.34136484424254 |
Real period |
R |
17.697357280225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418g2 |
Quadratic twists by: -7 |