Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144m |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-1.1616974751044E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,560805,27597094] |
[a1,a2,a3,a4,a6] |
Generators |
[325995:17333168:125] |
Generators of the group modulo torsion |
j |
647514500/385641 |
j-invariant |
L |
4.7685067078817 |
L(r)(E,1)/r! |
Ω |
0.13825483606866 |
Real period |
R |
8.6226761403095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048t1 81144l1 |
Quadratic twists by: -3 -7 |