Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070m |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
11988000 |
Modular degree for the optimal curve |
Δ |
-2.0643938723317E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30732652,688165823378] |
[a1,a2,a3,a4,a6] |
Generators |
[224124:106027885:1] |
Generators of the group modulo torsion |
j |
913923942103079/58773123072000 |
j-invariant |
L |
6.0331669992813 |
L(r)(E,1)/r! |
Ω |
0.042934803714173 |
Real period |
R |
9.3679509044158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123210cv1 41070bc1 |
Quadratic twists by: -3 37 |