Atkin-Lehner |
2- 3- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130ca |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-6192274714376517000 = -1 · 23 · 38 · 53 · 139 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -6 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,226633,112235159] |
[a1,a2,a3,a4,a6] |
Generators |
[-327:1918:1] |
Generators of the group modulo torsion |
j |
1765905354479529431/8494203997773000 |
j-invariant |
L |
13.73299789838 |
L(r)(E,1)/r! |
Ω |
0.1713074649088 |
Real period |
R |
2.2268274443345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886126 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34710m2 |
Quadratic twists by: -3 |