Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104cs |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-197529864634368 = -1 · 217 · 37 · 75 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3808833,2859850431] |
[a1,a2,a3,a4,a6] |
Generators |
[1119:432:1] |
Generators of the group modulo torsion |
j |
-46621870486238281250/1507033269 |
j-invariant |
L |
6.3802978183809 |
L(r)(E,1)/r! |
Ω |
0.41546285212472 |
Real period |
R |
0.5484672770654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104l1 13776a1 |
Quadratic twists by: -4 8 |