Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550h |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1057062656250000 = 24 · 34 · 510 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36001,2110148] |
[a1,a2,a3,a4,a6] |
j |
330240275458561/67652010000 |
j-invariant |
L |
1.8612915214025 |
L(r)(E,1)/r! |
Ω |
0.46532288035063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20400bt4 81600c3 7650ca4 510e3 |
Quadratic twists by: -4 8 -3 5 |