Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698br |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-46665053503488 = -1 · 220 · 39 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8374,-147063] |
[a1,a2,a3,a4,a6] |
Generators |
[53:639:1] |
Generators of the group modulo torsion |
j |
89093018542247/64012419072 |
j-invariant |
L |
8.7805304400788 |
L(r)(E,1)/r! |
Ω |
0.35858573863486 |
Real period |
R |
2.4486557868994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566g1 |
Quadratic twists by: -3 |