Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550d |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
34544531250 = 2 · 32 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1310125,-577734125] |
[a1,a2,a3,a4,a6] |
j |
15916310615119911121/2210850 |
j-invariant |
L |
0.8466863892446 |
L(r)(E,1)/r! |
Ω |
0.14111439820743 |
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 |
20400dl4 81600dy4 7650bw4 510g4 |
Quadratic twists by: -4 8 -3 5 |