Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fq |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.2513511540261E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12431187,16861487634] |
[a1,a2,a3,a4,a6] |
Generators |
[-2337:182070:1] |
Generators of the group modulo torsion |
j |
71149857462630609489/41907496960000 |
j-invariant |
L |
7.7815354229748 |
L(r)(E,1)/r! |
Ω |
0.1835646916368 |
Real period |
R |
2.6494526783406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10710j2 9520h2 |
Quadratic twists by: -4 -3 |