Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976bh |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3173204450304 = -1 · 210 · 312 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4179,134750] |
[a1,a2,a3,a4,a6] |
j |
-31522396/12393 |
j-invariant |
L |
2.9960596901694 |
L(r)(E,1)/r! |
Ω |
0.74901492227441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952w1 19992i1 59976bo1 |
Quadratic twists by: -4 -3 -7 |