Atkin-Lehner |
2- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
2158c |
Isogeny class |
Conductor |
2158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-261292936112 = -1 · 24 · 134 · 833 |
Discriminant |
Eigenvalues |
2- 3 2 1 -5 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,606,23761] |
[a1,a2,a3,a4,a6] |
j |
24649793075727/261292936112 |
j-invariant |
L |
5.7820763568506 |
L(r)(E,1)/r! |
Ω |
0.72275954460632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17264c1 69056j1 19422f1 53950l1 |
Quadratic twists by: -4 8 -3 5 |