Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142k |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36934632 = 23 · 32 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60631,-5751310] |
[a1,a2,a3,a4,a6] |
Generators |
[15376:1898705:1] |
Generators of the group modulo torsion |
j |
24648903752582859625/36934632 |
j-invariant |
L |
4.6417465449638 |
L(r)(E,1)/r! |
Ω |
0.30424729799827 |
Real period |
R |
7.6282461265937 |
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 |
69426bo2 |
Quadratic twists by: -3 |