Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632s |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
-182325192896 = -1 · 26 · 72 · 115 · 192 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1253,-11021] |
[a1,a2,a3,a4,a6] |
Generators |
[18:133:1] |
Generators of the group modulo torsion |
j |
3396646112768/2848831139 |
j-invariant |
L |
3.058414868124 |
L(r)(E,1)/r! |
Ω |
0.55919681003274 |
Real period |
R |
1.3673248883366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93632ba1 46816g1 |
Quadratic twists by: -4 8 |