Atkin-Lehner |
3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975i |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
7470298828125 = 33 · 59 · 74 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 3 -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13083,-556432] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:62:1] |
Generators of the group modulo torsion |
j |
126808653824/3824793 |
j-invariant |
L |
2.9369911022154 |
L(r)(E,1)/r! |
Ω |
0.44722014095833 |
Real period |
R |
1.6418039088768 |
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 |
92925u1 30975z1 |
Quadratic twists by: -3 5 |