Atkin-Lehner |
2+ 3+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714c |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2352488588707488 = 25 · 3 · 73 · 114 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-181184,-29668128] |
[a1,a2,a3,a4,a6] |
Generators |
[499:1868:1] |
Generators of the group modulo torsion |
j |
657789576786470934793/2352488588707488 |
j-invariant |
L |
4.0525802497256 |
L(r)(E,1)/r! |
Ω |
0.23145293102551 |
Real period |
R |
2.9182177068499 |
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 |
65142ba4 |
Quadratic twists by: -3 |