Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468l |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
222725776 = 24 · 72 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52586,-4659019] |
[a1,a2,a3,a4,a6] |
Generators |
[-3954205:6929:29791] |
Generators of the group modulo torsion |
j |
20512864885010176/284089 |
j-invariant |
L |
6.1146128101968 |
L(r)(E,1)/r! |
Ω |
0.31526904596552 |
Real period |
R |
4.8487259259507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468i1 |
Quadratic twists by: -7 |