Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976p |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1.0670853776518E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52332,157098116] |
[a1,a2,a3,a4,a6] |
j |
721888256/486008019 |
j-invariant |
L |
2.8439058807673 |
L(r)(E,1)/r! |
Ω |
0.17774411770118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952bf1 19992s1 8568e1 |
Quadratic twists by: -4 -3 -7 |