Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360k |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
27845139679232000 = 214 · 53 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-761521,-255910545] |
[a1,a2,a3,a4,a6] |
j |
2980917766431299536/1699532451125 |
j-invariant |
L |
0.96971748078284 |
L(r)(E,1)/r! |
Ω |
0.161619551757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bn2 12920l2 |
Quadratic twists by: -4 8 |