Atkin-Lehner |
3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11571f |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-48735251540829 = -1 · 36 · 72 · 196 · 29 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3721,-322770] |
[a1,a2,a3,a4,a6] |
Generators |
[4510:105475:8] |
Generators of the group modulo torsion |
j |
5695349014881287/48735251540829 |
j-invariant |
L |
5.1374556873605 |
L(r)(E,1)/r! |
Ω |
0.31470594326472 |
Real period |
R |
2.7207703981613 |
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 |
34713n2 80997l2 |
Quadratic twists by: -3 -7 |