Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950cj |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
8.1983033638912E+22 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -3 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56563380,-163143947753] |
[a1,a2,a3,a4,a6] |
Generators |
[-3162339:19142405:729] |
Generators of the group modulo torsion |
j |
31741495052096367/130023424000 |
j-invariant |
L |
18.175805279622 |
L(r)(E,1)/r! |
Ω |
0.055064631277715 |
Real period |
R |
3.3008130368001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190g1 75950cx1 |
Quadratic twists by: 5 -7 |