Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322l |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
13782637514707908 = 22 · 3 · 76 · 11 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61023,-1331979] |
[a1,a2,a3,a4,a6] |
j |
25130713583792832625/13782637514707908 |
j-invariant |
L |
5.8435610839018 |
L(r)(E,1)/r! |
Ω |
0.32464228243899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576v3 42966n3 100254bo3 |
Quadratic twists by: -4 -3 -7 |