Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cl |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
195189750000000000 = 210 · 38 · 512 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252507,-43969606] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:2050:1] |
Generators of the group modulo torsion |
j |
2385154376795236/261474609375 |
j-invariant |
L |
8.2044966403574 |
L(r)(E,1)/r! |
Ω |
0.21449129206608 |
Real period |
R |
3.187579535669 |
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 |
42840ci4 28560m4 |
Quadratic twists by: -4 -3 |