Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cl |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-357932605048704000 = -1 · 210 · 314 · 53 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97773,26269346] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:3060:1] |
Generators of the group modulo torsion |
j |
138469157604284/479483620875 |
j-invariant |
L |
8.2044966403574 |
L(r)(E,1)/r! |
Ω |
0.21449129206608 |
Real period |
R |
0.79689488391724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840ci3 28560m3 |
Quadratic twists by: -4 -3 |