Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327i |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4141716568607583 = 310 · 78 · 233 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79070,7997798] |
[a1,a2,a3,a4,a6] |
Generators |
[121:376:1] |
Generators of the group modulo torsion |
j |
6163717745375/466948881 |
j-invariant |
L |
3.120761867115 |
L(r)(E,1)/r! |
Ω |
0.42928330067234 |
Real period |
R |
3.6348512302103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11109c2 33327o2 |
Quadratic twists by: -3 -23 |