Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970cv |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-6.9592200671928E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-155969910,-850424466528] |
[a1,a2,a3,a4,a6] |
Generators |
[15624:717948:1] |
Generators of the group modulo torsion |
j |
-236859095231405581781881/39282983014374049500 |
j-invariant |
L |
15.129774972027 |
L(r)(E,1)/r! |
Ω |
0.021168054133558 |
Real period |
R |
4.9635115765409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270l5 |
Quadratic twists by: -11 |