Atkin-Lehner |
2+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
87374i |
Isogeny class |
Conductor |
87374 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-1.3490054722053E+19 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -3 5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-831223,-340836515] |
[a1,a2,a3,a4,a6] |
Generators |
[9798:169849:8] |
Generators of the group modulo torsion |
j |
-261284780457/55494656 |
j-invariant |
L |
1.9752304642271 |
L(r)(E,1)/r! |
Ω |
0.078167824937872 |
Real period |
R |
2.1057582053621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1106c1 |
Quadratic twists by: -79 |