Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456l |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
143889343488 = 210 · 39 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-578235,-169240646] |
[a1,a2,a3,a4,a6] |
Generators |
[2116530:275128546:125] |
Generators of the group modulo torsion |
j |
28642396591574500/192753 |
j-invariant |
L |
8.1596388705803 |
L(r)(E,1)/r! |
Ω |
0.17313045124355 |
Real period |
R |
11.7825010061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46728d1 31152h1 |
Quadratic twists by: -4 -3 |