Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110940f |
Isogeny class |
Conductor |
110940 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1560384 |
Modular degree for the optimal curve |
Δ |
403944201593890560 = 28 · 33 · 5 · 438 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185516,3230340] |
[a1,a2,a3,a4,a6] |
Generators |
[54948:2423782:27] |
Generators of the group modulo torsion |
j |
235984/135 |
j-invariant |
L |
6.9075739503856 |
L(r)(E,1)/r! |
Ω |
0.25646821707157 |
Real period |
R |
8.9778167233834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008196 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110940e1 |
Quadratic twists by: -43 |