Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bc |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.31260962816E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,682132,80688208] |
[a1,a2,a3,a4,a6] |
Generators |
[2757:151385:1] |
Generators of the group modulo torsion |
j |
133902615693854799/88219056250000 |
j-invariant |
L |
6.3774425312041 |
L(r)(E,1)/r! |
Ω |
0.13391419398456 |
Real period |
R |
5.9529187506696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720f3 17680o4 |
Quadratic twists by: -4 8 |