Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736fb |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-2876088316506144768 = -1 · 228 · 310 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,192084,74884304] |
[a1,a2,a3,a4,a6] |
j |
4101378352343/15049939968 |
j-invariant |
L |
2.1687462103173 |
L(r)(E,1)/r! |
Ω |
0.18072884899656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736bq1 23184bu1 30912bs1 |
Quadratic twists by: -4 8 -3 |