Atkin-Lehner |
3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259b |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
148573184649417 = 33 · 11 · 298 |
Discriminant |
Eigenvalues |
-1 3+ -4 4 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146492,-21536210] |
[a1,a2,a3,a4,a6] |
Generators |
[25041:670358:27] |
Generators of the group modulo torsion |
j |
21647657403/9251 |
j-invariant |
L |
2.0461082979289 |
L(r)(E,1)/r! |
Ω |
0.2440379947866 |
Real period |
R |
4.1921920774066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83259c2 2871b2 |
Quadratic twists by: -3 29 |