Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fe |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
19265884162560000 = 212 · 312 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-550947,-157261214] |
[a1,a2,a3,a4,a6] |
Generators |
[-423:320:1] |
Generators of the group modulo torsion |
j |
6193921595708449/6452105625 |
j-invariant |
L |
7.0272235034706 |
L(r)(E,1)/r! |
Ω |
0.17524646276863 |
Real period |
R |
2.5061930631013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918746 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355p2 28560de2 |
Quadratic twists by: -4 -3 |