Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360dg |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1289748480 = -1 · 221 · 3 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1345,18623] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:192:1] |
Generators of the group modulo torsion |
j |
-1027243729/4920 |
j-invariant |
L |
7.4933353387155 |
L(r)(E,1)/r! |
Ω |
1.5367995994364 |
Real period |
R |
1.2189838124409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360u1 9840p1 118080en1 |
Quadratic twists by: -4 8 -3 |