Atkin-Lehner |
5+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
115885h |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1787904 |
Modular degree for the optimal curve |
Δ |
-3.2623706521068E+19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25563,274815986] |
[a1,a2,a3,a4,a6] |
Generators |
[22764:5659975:343] |
Generators of the group modulo torsion |
j |
-15702001143921/277296930029735 |
j-invariant |
L |
3.198069344663 |
L(r)(E,1)/r! |
Ω |
0.16599893686797 |
Real period |
R |
9.6328005937096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16555e1 |
Quadratic twists by: -7 |