Atkin-Lehner |
2+ 3+ 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714a |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16300352376 = 23 · 32 · 7 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2569,48685] |
[a1,a2,a3,a4,a6] |
Generators |
[15:110:1] |
Generators of the group modulo torsion |
j |
1876204364233753/16300352376 |
j-invariant |
L |
3.8561141375856 |
L(r)(E,1)/r! |
Ω |
1.2436585375091 |
Real period |
R |
1.5503106444751 |
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 |
65142w2 |
Quadratic twists by: -3 |