Atkin-Lehner |
2+ 5- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
85840a |
Isogeny class |
Conductor |
85840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
127043200000 = 210 · 55 · 29 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 6 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30307,2030706] |
[a1,a2,a3,a4,a6] |
Generators |
[27:1110:1] |
Generators of the group modulo torsion |
j |
3006440425199844/124065625 |
j-invariant |
L |
9.0897529468838 |
L(r)(E,1)/r! |
Ω |
0.97918603106064 |
Real period |
R |
0.92829683578189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42920a1 |
Quadratic twists by: -4 |