Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fd |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.101510520171E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82299747,238925250146] |
[a1,a2,a3,a4,a6] |
Generators |
[90155175:7893758782:35937] |
Generators of the group modulo torsion |
j |
20645800966247918737249/3688936444974392640 |
j-invariant |
L |
7.2800676676143 |
L(r)(E,1)/r! |
Ω |
0.068468485982375 |
Real period |
R |
13.290909615225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710l5 28560cd4 |
Quadratic twists by: -4 -3 |