Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431l |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
72772327101774573 = 34 · 73 · 1310 · 19 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5879345,5486577059] |
[a1,a2,a3,a4,a6] |
Generators |
[3066297:-2060609:2197] |
Generators of the group modulo torsion |
j |
4656400509904241617/15076694997 |
j-invariant |
L |
11.160645097547 |
L(r)(E,1)/r! |
Ω |
0.30164614694272 |
Real period |
R |
9.2497825770368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187j3 |
Quadratic twists by: 13 |