Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645p |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
15075320416875 = 315 · 54 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- -2 3 1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6219,-25650] |
[a1,a2,a3,a4,a6] |
Generators |
[246:3522:1] |
Generators of the group modulo torsion |
j |
21708480289/12301875 |
j-invariant |
L |
8.0333459467733 |
L(r)(E,1)/r! |
Ω |
0.58007675437324 |
Real period |
R |
0.86554773634809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25215f1 75645r1 |
Quadratic twists by: -3 41 |