Atkin-Lehner |
2+ 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306b |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-191294095076 = -1 · 22 · 74 · 172 · 413 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1055,24742] |
[a1,a2,a3,a4,a6] |
Generators |
[25:106:1] [76:582:1] |
Generators of the group modulo torsion |
j |
-54012843913/79672676 |
j-invariant |
L |
7.5197483911846 |
L(r)(E,1)/r! |
Ω |
0.90622355574515 |
Real period |
R |
2.0744738821599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68306i1 |
Quadratic twists by: -7 |