Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050bz |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-3403930780800 = -1 · 27 · 39 · 52 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42,-88749] |
[a1,a2,a3,a4,a6] |
j |
327254135/136157231232 |
j-invariant |
L |
2.5508981848164 |
L(r)(E,1)/r! |
Ω |
0.3644140264024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150ct1 28050bo1 |
Quadratic twists by: -3 5 |