Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494cj |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1757668857348096 = -1 · 221 · 39 · 72 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-270617,54290297] |
[a1,a2,a3,a4,a6] |
Generators |
[231:1900:1] |
Generators of the group modulo torsion |
j |
-3006490978469546569/2411068391424 |
j-invariant |
L |
11.365677470539 |
L(r)(E,1)/r! |
Ω |
0.4676044063315 |
Real period |
R |
0.28935930044171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498v1 |
Quadratic twists by: -3 |