Atkin-Lehner |
17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31433b |
Isogeny class |
Conductor |
31433 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
107463171833 = 17 · 436 |
Discriminant |
Eigenvalues |
1 0 2 -4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1271,-7136] |
[a1,a2,a3,a4,a6] |
Generators |
[351050:3618623:2744] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
5.4425237134475 |
L(r)(E,1)/r! |
Ω |
0.83744258002999 |
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 |
17a4 |
Quadratic twists by: -43 |