Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838cf |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
696046693515264 = 217 · 35 · 73 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2842015,1843876313] |
[a1,a2,a3,a4,a6] |
Generators |
[998:-1843:1] |
Generators of the group modulo torsion |
j |
7401311775574741668727/2029290651648 |
j-invariant |
L |
15.737201843381 |
L(r)(E,1)/r! |
Ω |
0.40745149005007 |
Real period |
R |
0.22719704696238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838bx1 |
Quadratic twists by: -7 |