Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280t |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-2.5891200879599E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 0 -7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,324255,-2447204895] |
[a1,a2,a3,a4,a6] |
Generators |
[11967:1309608:1] |
Generators of the group modulo torsion |
j |
14382768678616871/9876709319915520 |
j-invariant |
L |
4.7948736523739 |
L(r)(E,1)/r! |
Ω |
0.067365694997906 |
Real period |
R |
3.5588392968597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280de1 1290c1 123840bw1 |
Quadratic twists by: -4 8 -3 |