Atkin-Lehner |
2- 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
33456n |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8.3065630045539E+26 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-415966784,3547762953216] |
[a1,a2,a3,a4,a6] |
Generators |
[11170360497516315680:540350220952497408896:997152706642625] |
Generators of the group modulo torsion |
j |
-1943299427371886688757286977/202796948353367429302464 |
j-invariant |
L |
5.895725754851 |
L(r)(E,1)/r! |
Ω |
0.048876627082759 |
Real period |
R |
30.156161066864 |
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 |
4182h2 100368bt2 |
Quadratic twists by: -4 -3 |