Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976bc |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
17777349065419776 = 210 · 311 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 4 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81291,6199382] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1296:1] |
Generators of the group modulo torsion |
j |
13805092/4131 |
j-invariant |
L |
8.9398213996271 |
L(r)(E,1)/r! |
Ω |
0.36051455725978 |
Real period |
R |
3.0996742085943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952o1 19992a1 59976bt1 |
Quadratic twists by: -4 -3 -7 |