Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840cs |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-170514616320 = -1 · 212 · 311 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 -7 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5187,145154] |
[a1,a2,a3,a4,a6] |
Generators |
[55:162:1] |
Generators of the group modulo torsion |
j |
-5168743489/57105 |
j-invariant |
L |
5.0166685969048 |
L(r)(E,1)/r! |
Ω |
1.0219378669244 |
Real period |
R |
0.61362201647376 |
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 |
2115f1 11280i1 |
Quadratic twists by: -4 -3 |