Atkin-Lehner |
3- 5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395bf |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
294516723310530435 = 310 · 5 · 11 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175262,-10717086] |
[a1,a2,a3,a4,a6] |
Generators |
[42516:802527:64] |
Generators of the group modulo torsion |
j |
816689836057102489/404000992195515 |
j-invariant |
L |
4.6844946755799 |
L(r)(E,1)/r! |
Ω |
0.24548349125989 |
Real period |
R |
9.5413640381901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999244893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465b3 |
Quadratic twists by: -3 |