Atkin-Lehner |
3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005a |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
140098131225 = 33 · 52 · 136 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3806,86978] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:439:1] |
Generators of the group modulo torsion |
j |
1263214441/29025 |
j-invariant |
L |
2.1479689420022 |
L(r)(E,1)/r! |
Ω |
1.03303705569 |
Real period |
R |
1.0396378942603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
645b1 |
Quadratic twists by: 13 |