Atkin-Lehner |
2- 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10582k |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2656 |
Modular degree for the optimal curve |
Δ |
-23248654 = -1 · 2 · 11 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 2 -1 2 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,54,197] |
[a1,a2,a3,a4,a6] |
j |
17394111071/23248654 |
j-invariant |
L |
5.7597382648495 |
L(r)(E,1)/r! |
Ω |
1.4399345662124 |
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 |
84656o1 95238t1 116402c1 |
Quadratic twists by: -4 -3 -11 |