Atkin-Lehner |
3+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52275a |
Isogeny class |
Conductor |
52275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-28993369013671875 = -1 · 3 · 510 · 176 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 5 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,42917,7429068] |
[a1,a2,a3,a4,a6] |
j |
895161958400/2968920987 |
j-invariant |
L |
2.1118919413008 |
L(r)(E,1)/r! |
Ω |
0.2639864927166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52275k1 |
Quadratic twists by: 5 |