Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2240k |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-393379840 = -1 · 215 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,148,656] |
[a1,a2,a3,a4,a6] |
Generators |
[5:39:1] |
Generators of the group modulo torsion |
j |
10941048/12005 |
j-invariant |
L |
3.1903786538985 |
L(r)(E,1)/r! |
Ω |
1.120881003603 |
Real period |
R |
2.8463134299209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2240e4 1120c4 20160br4 11200b4 |
Quadratic twists by: -4 8 -3 5 |