Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640f |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
35423365464121600 = 28 · 52 · 76 · 196 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15684247,-23908018986] |
[a1,a2,a3,a4,a6] |
Generators |
[4272141955814:1016049732761415:75151448] |
Generators of the group modulo torsion |
j |
1666766511378391624080336/138372521344225 |
j-invariant |
L |
4.1755937698099 |
L(r)(E,1)/r! |
Ω |
0.075863633344345 |
Real period |
R |
18.346927619706 |
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 |
5320e2 42560bw2 95760v2 53200r2 |
Quadratic twists by: -4 8 -3 5 |