Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bi |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
415744 |
Modular degree for the optimal curve |
Δ |
-12295905467328 = -1 · 26 · 32 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4230,-197784] |
[a1,a2,a3,a4,a6] |
Generators |
[114:888:1] |
Generators of the group modulo torsion |
j |
-3241792/4761 |
j-invariant |
L |
4.6813926213044 |
L(r)(E,1)/r! |
Ω |
0.28118265954226 |
Real period |
R |
4.1622344803414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999995305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192ch1 108192bw1 |
Quadratic twists by: -4 -7 |