Atkin-Lehner |
5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109265b |
Isogeny class |
Conductor |
109265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
20570920178680625 = 54 · 132 · 417 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-228651,41418224] |
[a1,a2,a3,a4,a6] |
Generators |
[13533:1566649:1] |
Generators of the group modulo torsion |
j |
278317173889/4330625 |
j-invariant |
L |
5.5234705284061 |
L(r)(E,1)/r! |
Ω |
0.38464151533713 |
Real period |
R |
3.5900119268417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665e1 |
Quadratic twists by: 41 |