Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cb |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19639649111040 = 210 · 38 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61347,-5844526] |
[a1,a2,a3,a4,a6] |
Generators |
[2882:34695:8] |
Generators of the group modulo torsion |
j |
34203946315396/26309115 |
j-invariant |
L |
7.8981874368187 |
L(r)(E,1)/r! |
Ω |
0.30336905250809 |
Real period |
R |
6.5087287015117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840w4 28560e4 |
Quadratic twists by: -4 -3 |