Atkin-Lehner |
2+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616j |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-4393664 = -1 · 26 · 11 · 792 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,-53] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] [102:1027:1] |
Generators of the group modulo torsion |
j |
99897344/68651 |
j-invariant |
L |
7.1346641885902 |
L(r)(E,1)/r! |
Ω |
1.3894984399289 |
Real period |
R |
2.567352356638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616v1 869b1 |
Quadratic twists by: -4 8 |