Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200da |
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 |
[38:25:1] |
Generators of the group modulo torsion |
j |
-40247296/235 |
j-invariant |
L |
5.014094717162 |
L(r)(E,1)/r! |
Ω |
1.1159418389045 |
Real period |
R |
1.123287644082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200l1 18800bf1 15040y1 |
Quadratic twists by: -4 8 5 |