Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bn |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.8831457544501E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2218401792,-40199395224384] |
[a1,a2,a3,a4,a6] |
Generators |
[13601061742168649256:1280293599468234112872:232256803024709] |
Generators of the group modulo torsion |
j |
105997782562506306791694649/51649016225625000000 |
j-invariant |
L |
3.5777232880387 |
L(r)(E,1)/r! |
Ω |
0.021998962719103 |
Real period |
R |
20.328931718962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13650cs2 8190bp2 |
Quadratic twists by: -3 5 |