Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730a |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8225280 |
Modular degree for the optimal curve |
Δ |
-6.6653570301793E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70909983,-229861190313] |
[a1,a2,a3,a4,a6] |
Generators |
[53387565171714477:29405801964417495714:175521936799] |
Generators of the group modulo torsion |
j |
-6840085736008638067129/11562163256250 |
j-invariant |
L |
2.5562860952148 |
L(r)(E,1)/r! |
Ω |
0.026013133445969 |
Real period |
R |
24.567264267917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bk1 |
Quadratic twists by: -7 |