Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456t |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5157752537088 = -1 · 217 · 34 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 4 4 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,640,-108876] |
[a1,a2,a3,a4,a6] |
Generators |
[84:738:1] |
Generators of the group modulo torsion |
j |
7066834559/1259216928 |
j-invariant |
L |
6.4122765890632 |
L(r)(E,1)/r! |
Ω |
0.36134334511674 |
Real period |
R |
2.2182076533716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182f2 100368cf2 |
Quadratic twists by: -4 -3 |