Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cu |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-470000000000 = -1 · 210 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -4 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-34537] |
[a1,a2,a3,a4,a6] |
Generators |
[5225346:442420831:729] |
Generators of the group modulo torsion |
j |
-6400/47 |
j-invariant |
L |
5.2203893321508 |
L(r)(E,1)/r! |
Ω |
0.39325161312874 |
Real period |
R |
13.274934309876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200h1 18800e1 75200di1 |
Quadratic twists by: -4 8 5 |