Atkin-Lehner |
2- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10846d |
Isogeny class |
Conductor |
10846 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
21632 |
Modular degree for the optimal curve |
Δ |
44425216 = 213 · 11 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3 -1 -4 11+ -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8373,-292787] |
[a1,a2,a3,a4,a6] |
Generators |
[-1419:704:27] |
Generators of the group modulo torsion |
j |
64911008725758369/44425216 |
j-invariant |
L |
9.4339811843837 |
L(r)(E,1)/r! |
Ω |
0.49909515277554 |
Real period |
R |
1.4540130400016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86768m1 97614t1 119306l1 |
Quadratic twists by: -4 -3 -11 |