Atkin-Lehner |
3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
93615k |
Isogeny class |
Conductor |
93615 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1061760 |
Modular degree for the optimal curve |
Δ |
1797773939739274785 = 3 · 5 · 799 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-318421,24903320] |
[a1,a2,a3,a4,a6] |
Generators |
[3360968129064123040705:2692882046978633009301940:5228974019179009] |
Generators of the group modulo torsion |
j |
29791/15 |
j-invariant |
L |
4.3863622540959 |
L(r)(E,1)/r! |
Ω |
0.23392354360887 |
Real period |
R |
37.502529045103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93615c1 |
Quadratic twists by: -79 |