Atkin-Lehner |
2+ 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104bd |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
532 |
Product of Tamagawa factors cp |
deg |
24514560 |
Modular degree for the optimal curve |
Δ |
-1.2720520905761E+27 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -2 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175908369,-1936801961937] |
[a1,a2,a3,a4,a6] |
Generators |
[167991:68625144:1] |
Generators of the group modulo torsion |
j |
-36742041300293123413614928/77639898106449639295461 |
j-invariant |
L |
9.1214134663407 |
L(r)(E,1)/r! |
Ω |
0.019435400072748 |
Real period |
R |
0.88217962944914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104cm1 3444c1 |
Quadratic twists by: -4 8 |