Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104dl |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-210786313327607808 = -1 · 219 · 35 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -1 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-210945,-43412481] |
[a1,a2,a3,a4,a6] |
Generators |
[735:14112:1] |
Generators of the group modulo torsion |
j |
-3959985141923329/804085973082 |
j-invariant |
L |
6.3270393381156 |
L(r)(E,1)/r! |
Ω |
0.11018152846215 |
Real period |
R |
0.31902097416911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104j1 13776l1 |
Quadratic twists by: -4 8 |