Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550h |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6566047668457031250 = -1 · 2 · 34 · 522 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,163749,-120604352] |
[a1,a2,a3,a4,a6] |
j |
31077313442863199/420227050781250 |
j-invariant |
L |
1.8612915214025 |
L(r)(E,1)/r! |
Ω |
0.11633072008766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400bt8 81600c7 7650ca8 510e8 |
Quadratic twists by: -4 8 -3 5 |