Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504cc |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
1.2836363166979E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3859456,-2356150348] |
[a1,a2,a3,a4,a6] |
Generators |
[-3555091584713814:-57943820009553920:2716456674177] |
Generators of the group modulo torsion |
j |
658275956099/132907008 |
j-invariant |
L |
9.0613884281039 |
L(r)(E,1)/r! |
Ω |
0.10923711212536 |
Real period |
R |
20.73788900523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438t1 75504cf1 |
Quadratic twists by: -4 -11 |