Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975z |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
478099125 = 33 · 53 · 74 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-523,-4661] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-11:1] |
Generators of the group modulo torsion |
j |
126808653824/3824793 |
j-invariant |
L |
6.4222026564986 |
L(r)(E,1)/r! |
Ω |
1.0000146360899 |
Real period |
R |
0.26758786091413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925bg1 30975i1 |
Quadratic twists by: -3 5 |