Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cw |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.7745778757796E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71003043,-230269944158] |
[a1,a2,a3,a4,a6] |
j |
357957021261376014720507/25088413952000000 |
j-invariant |
L |
0.83215091883013 |
L(r)(E,1)/r! |
Ω |
0.052009435568829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710a2 85680dd2 |
Quadratic twists by: -4 -3 |