Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090bw |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
87711741337500000 = 25 · 33 · 58 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-195805,30135377] |
[a1,a2,a3,a4,a6] |
Generators |
[494:-7597:1] |
Generators of the group modulo torsion |
j |
7056785934088129/745537500000 |
j-invariant |
L |
13.623819493815 |
L(r)(E,1)/r! |
Ω |
0.32989231898168 |
Real period |
R |
0.34414814346819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1410j2 |
Quadratic twists by: -7 |