Atkin-Lehner |
2- 17- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118864h |
Isogeny class |
Conductor |
118864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
53190213632 = 214 · 17 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2795,-55782] |
[a1,a2,a3,a4,a6] |
Generators |
[71:322:1] [101:832:1] |
Generators of the group modulo torsion |
j |
589534466625/12985892 |
j-invariant |
L |
9.9580399701001 |
L(r)(E,1)/r! |
Ω |
0.65748561997034 |
Real period |
R |
3.7864097981151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14858d1 |
Quadratic twists by: -4 |