Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270bn |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
715392 |
Modular degree for the optimal curve |
Δ |
-1514535827904000 = -1 · 29 · 36 · 53 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14550,1984467] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:-1549:1] [127:1421:1] |
Generators of the group modulo torsion |
j |
-255939019679771/1137893184000 |
j-invariant |
L |
14.092514275171 |
L(r)(E,1)/r! |
Ω |
0.41501066740939 |
Real period |
R |
0.10480553355639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270i1 |
Quadratic twists by: -11 |