Atkin-Lehner |
2+ 3+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758c |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8454975781485632256 = -1 · 28 · 39 · 112 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,449967,77827805] |
[a1,a2,a3,a4,a6] |
Generators |
[386:-17769:1] [-89:6133:1] |
Generators of the group modulo torsion |
j |
511886728354194621/429557271832832 |
j-invariant |
L |
5.8830213597058 |
L(r)(E,1)/r! |
Ω |
0.15055447430632 |
Real period |
R |
2.4422312035274 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43758o2 |
Quadratic twists by: -3 |