Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432o |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-355643633073913856 = -1 · 247 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 2 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1212067,-514416222] |
[a1,a2,a3,a4,a6] |
Generators |
[84177140857063404172641766:-4968263276942641005492486327:21951938848056783982424] |
Generators of the group modulo torsion |
j |
-133179212896925841/240518168576 |
j-invariant |
L |
6.1433542011888 |
L(r)(E,1)/r! |
Ω |
0.071935107417437 |
Real period |
R |
42.700667460876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5054a2 40432m2 |
Quadratic twists by: -4 -19 |