Atkin-Lehner |
2+ 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288i |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-548536365425664 = -1 · 210 · 35 · 7 · 11 · 315 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16296,1376928] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1116:1] |
Generators of the group modulo torsion |
j |
-467405107277476/535680044361 |
j-invariant |
L |
7.8942679341378 |
L(r)(E,1)/r! |
Ω |
0.47063831846697 |
Real period |
R |
0.33547068415099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576a1 |
Quadratic twists by: -4 |