Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100j |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3084480 |
Modular degree for the optimal curve |
Δ |
-6.486064686675E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1746667,843189537] |
[a1,a2,a3,a4,a6] |
Generators |
[-2484102557395064:31467577028076697:5873895925507] |
Generators of the group modulo torsion |
j |
235729426841600/259442587467 |
j-invariant |
L |
5.7921371085988 |
L(r)(E,1)/r! |
Ω |
0.10753980353607 |
Real period |
R |
26.930201274992 |
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 |
86100bi1 |
Quadratic twists by: 5 |