Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230s |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-4121315002441406250 = -1 · 2 · 37 · 518 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1873224,992098530] |
[a1,a2,a3,a4,a6] |
Generators |
[-1119:41622:1] |
Generators of the group modulo torsion |
j |
-997161390145682805889/5653381347656250 |
j-invariant |
L |
4.4313781964372 |
L(r)(E,1)/r! |
Ω |
0.24811780631134 |
Real period |
R |
2.2324970657672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7410t3 111150eg3 |
Quadratic twists by: -3 5 |