Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965x |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
314343421875 = 32 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4583,115931] |
[a1,a2,a3,a4,a6] |
Generators |
[15:217:1] |
Generators of the group modulo torsion |
j |
90458382169/2671875 |
j-invariant |
L |
7.2753623090807 |
L(r)(E,1)/r! |
Ω |
0.96288176154459 |
Real period |
R |
1.2593035129274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895bc2 69825s2 285b2 |
Quadratic twists by: -3 5 -7 |