Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680bm |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
353513683998720 = 211 · 310 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21243,-775798] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:610:1] [-71:612:1] |
Generators of the group modulo torsion |
j |
710090624882/236782035 |
j-invariant |
L |
10.494370757469 |
L(r)(E,1)/r! |
Ω |
0.4060552821236 |
Real period |
R |
1.6152927968599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840br3 28560x3 |
Quadratic twists by: -4 -3 |