Atkin-Lehner |
2+ 5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550m |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.2333199374063E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-860625,-207092875] |
[a1,a2,a3,a4,a6] |
Generators |
[30751538848275:822430962952006:21369234375] |
Generators of the group modulo torsion |
j |
4511763717106237201/1429324759940000 |
j-invariant |
L |
7.5269211688609 |
L(r)(E,1)/r! |
Ω |
0.16065963649517 |
Real period |
R |
23.425053528866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710m2 |
Quadratic twists by: 5 |