Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360r |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6566400 = 29 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-603,5698] |
[a1,a2,a3,a4,a6] |
Generators |
[18:26:1] |
Generators of the group modulo torsion |
j |
1754049816/475 |
j-invariant |
L |
5.3687607834702 |
L(r)(E,1)/r! |
Ω |
2.3187149809713 |
Real period |
R |
2.3154035004428 |
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 |
27360p2 54720cz2 27360f2 |
Quadratic twists by: -4 8 -3 |