Atkin-Lehner |
3- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265g |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.8804199015373E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1925325,-732168014] |
[a1,a2,a3,a4,a6] |
Generators |
[36846223974:1727908068013:33386248] |
Generators of the group modulo torsion |
j |
1082700175629419125199/943816173050390625 |
j-invariant |
L |
5.0253237820912 |
L(r)(E,1)/r! |
Ω |
0.088689689104337 |
Real period |
R |
14.165467913398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755e5 |
Quadratic twists by: -3 |