Atkin-Lehner |
17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31433b |
Isogeny class |
Conductor |
31433 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-527966563215529 = -1 · 174 · 436 |
Discriminant |
Eigenvalues |
1 0 2 -4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1271,1105962] |
[a1,a2,a3,a4,a6] |
Generators |
[17684:289933:64] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
5.4425237134475 |
L(r)(E,1)/r! |
Ω |
0.41872129001499 |
Real period |
R |
6.4989813549396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17a1 |
Quadratic twists by: -43 |