Atkin-Lehner |
2- 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69874j |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1.2446151158227E+21 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3461394,-1805489647] |
[a1,a2,a3,a4,a6] |
Generators |
[-719:17999:1] |
Generators of the group modulo torsion |
j |
38984185420808487777/10579053930102784 |
j-invariant |
L |
10.931328544884 |
L(r)(E,1)/r! |
Ω |
0.11293625104499 |
Real period |
R |
3.4568580709688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989469 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9982c2 |
Quadratic twists by: -7 |