Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930i |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36665016727500 = 22 · 38 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21928,-1224572] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:160:1] |
Generators of the group modulo torsion |
j |
9912050027641/311647500 |
j-invariant |
L |
3.3484371996561 |
L(r)(E,1)/r! |
Ω |
0.39308214578428 |
Real period |
R |
2.1296039743648 |
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 |
83790fs3 570e4 |
Quadratic twists by: -3 -7 |