Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200l |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-60160000000 = -1 · 214 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -4 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4533,-116563] |
[a1,a2,a3,a4,a6] |
Generators |
[24924:754775:27] |
Generators of the group modulo torsion |
j |
-40247296/235 |
j-invariant |
L |
8.2057070870987 |
L(r)(E,1)/r! |
Ω |
0.29081282597123 |
Real period |
R |
7.0541138100345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200da1 4700b1 15040g1 |
Quadratic twists by: -4 8 5 |