Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bb |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21086664347750400 = 212 · 36 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174505,-27116375] |
[a1,a2,a3,a4,a6] |
Generators |
[4527:303212:1] |
Generators of the group modulo torsion |
j |
1219555693504/43758225 |
j-invariant |
L |
5.4595412770369 |
L(r)(E,1)/r! |
Ω |
0.23410157235601 |
Real period |
R |
5.8303124815466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040db2 23520m1 6720s2 |
Quadratic twists by: -4 8 -7 |