Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504cy |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-1014541811712 = -1 · 215 · 39 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832,-49612] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1296:1] |
Generators of the group modulo torsion |
j |
-128667913/2047032 |
j-invariant |
L |
8.7834638103061 |
L(r)(E,1)/r! |
Ω |
0.3763752507294 |
Real period |
R |
0.64824960035061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438w1 75504ck1 |
Quadratic twists by: -4 -11 |