Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840o |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
-1.1392954418146E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75102348,-571386048172] |
[a1,a2,a3,a4,a6] |
Generators |
[12442:648270:1] |
Generators of the group modulo torsion |
j |
-251024877317069793166336/610476381287841796875 |
j-invariant |
L |
6.0975212381591 |
L(r)(E,1)/r! |
Ω |
0.023911178784971 |
Real period |
R |
3.5417657881282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85680l1 14280bn1 |
Quadratic twists by: -4 -3 |