Atkin-Lehner |
3- 5+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40515g |
Isogeny class |
Conductor |
40515 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-7.6747424042725E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,848749,295156680] |
[a1,a2,a3,a4,a6] |
Generators |
[-239:8989:1] |
Generators of the group modulo torsion |
j |
67617873241396250102351/76747424042724609375 |
j-invariant |
L |
2.4453560097442 |
L(r)(E,1)/r! |
Ω |
0.12878907878358 |
Real period |
R |
1.4605610213135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121545n1 |
Quadratic twists by: -3 |