Atkin-Lehner |
2- 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
55056r |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-1354187767222075392 = -1 · 215 · 319 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 5 -7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416888,117625812] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-5022:1] |
Generators of the group modulo torsion |
j |
-1956243846137829625/330612247856952 |
j-invariant |
L |
7.8044285864503 |
L(r)(E,1)/r! |
Ω |
0.26072517281856 |
Real period |
R |
0.39386242881775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882b1 |
Quadratic twists by: -4 |