Atkin-Lehner |
2+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280j |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
55197040640000 = 228 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -2 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17505,822497] |
[a1,a2,a3,a4,a6] |
j |
2263054145689/210560000 |
j-invariant |
L |
2.4477550029393 |
L(r)(E,1)/r! |
Ω |
0.61193875290655 |
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 |
105280bn1 3290a1 |
Quadratic twists by: -4 8 |