Atkin-Lehner |
2+ 3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370h |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17718272100 = -1 · 22 · 36 · 52 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270,6696] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-79:1] [-12:96:1] |
Generators of the group modulo torsion |
j |
-2992209121/24304900 |
j-invariant |
L |
5.8923753148946 |
L(r)(E,1)/r! |
Ω |
1.0531239137616 |
Real period |
R |
0.69939245015431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930h2 |
Quadratic twists by: -3 |