Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
2262j |
Isogeny class |
Conductor |
2262 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-15627554046 = -1 · 2 · 313 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 2 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-830,10649] |
[a1,a2,a3,a4,a6] |
j |
-63239829700321/15627554046 |
j-invariant |
L |
2.366107387725 |
L(r)(E,1)/r! |
Ω |
1.1830536938625 |
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 |
18096bh1 72384v1 6786d1 56550x1 |
Quadratic twists by: -4 8 -3 5 |