Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40180b |
Isogeny class |
Conductor |
40180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-1107500626400000 = -1 · 28 · 55 · 77 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-562781,162697081] |
[a1,a2,a3,a4,a6] |
Generators |
[488:2009:1] |
Generators of the group modulo torsion |
j |
-654507396653056/36771875 |
j-invariant |
L |
2.6893112014724 |
L(r)(E,1)/r! |
Ω |
0.4631396589908 |
Real period |
R |
1.4516739979317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5740c1 |
Quadratic twists by: -7 |