Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550h |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-98096589014062500 = -1 · 22 · 32 · 58 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,76499,12685148] |
[a1,a2,a3,a4,a6] |
j |
3168685387909439/6278181696900 |
j-invariant |
L |
1.8612915214025 |
L(r)(E,1)/r! |
Ω |
0.23266144017532 |
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 |
20400bt6 81600c5 7650ca6 510e6 |
Quadratic twists by: -4 8 -3 5 |