Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150g |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-638608784062500 = -1 · 22 · 39 · 57 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16833,874241] |
[a1,a2,a3,a4,a6] |
Generators |
[1309:46933:1] [-16:783:1] |
Generators of the group modulo torsion |
j |
1715072373/2076460 |
j-invariant |
L |
5.6638738944962 |
L(r)(E,1)/r! |
Ω |
0.34304233679807 |
Real period |
R |
0.34397320722392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21150bm1 4230w2 |
Quadratic twists by: -3 5 |