Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446s |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
727540046648464896 = 29 · 33 · 78 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-411822,-93110048] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:1541:1] |
Generators of the group modulo torsion |
j |
1339881856394137/126203844096 |
j-invariant |
L |
7.6602924392735 |
L(r)(E,1)/r! |
Ω |
0.1895997263942 |
Real period |
R |
1.496386836507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446e2 |
Quadratic twists by: -7 |