Atkin-Lehner |
2- 3+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
110664m |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-4504467456 = -1 · 211 · 33 · 29 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 0 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1419,-20826] |
[a1,a2,a3,a4,a6] |
Generators |
[46:106:1] |
Generators of the group modulo torsion |
j |
-5714486118/81461 |
j-invariant |
L |
3.4686993538338 |
L(r)(E,1)/r! |
Ω |
0.38860269720863 |
Real period |
R |
2.2315203837954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110664b1 |
Quadratic twists by: -3 |