Atkin-Lehner |
2- 3- 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534bd |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-56897178624 = -1 · 210 · 36 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,11495] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-125:1] [-11:109:1] |
Generators of the group modulo torsion |
j |
-47045881/78048256 |
j-invariant |
L |
14.787686835119 |
L(r)(E,1)/r! |
Ω |
0.89778487205795 |
Real period |
R |
0.41178258006156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726d1 |
Quadratic twists by: -3 |