Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645a |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-131459134869675 = -1 · 33 · 52 · 417 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 -3 -4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-80688,8839118] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:4202:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
4.5007345076069 |
L(r)(E,1)/r! |
Ω |
0.58603296518266 |
Real period |
R |
0.48000014232165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75645d1 1845a1 |
Quadratic twists by: -3 41 |