Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bj |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-6808040554917888 = -1 · 212 · 38 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46504,5552560] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:2904:1] |
Generators of the group modulo torsion |
j |
-1532808577/938223 |
j-invariant |
L |
4.6235642682678 |
L(r)(E,1)/r! |
Ω |
0.38957317633884 |
Real period |
R |
1.4835352342808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719j1 6864r1 |
Quadratic twists by: -4 -11 |