Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736bq |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[84306:4751360:27] |
Generators of the group modulo torsion |
j |
4101378352343/15049939968 |
j-invariant |
L |
3.3693814983673 |
L(r)(E,1)/r! |
Ω |
0.12929300942238 |
Real period |
R |
6.5150109667679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736fb1 2898o1 30912t1 |
Quadratic twists by: -4 8 -3 |