Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2262d |
Isogeny class |
Conductor |
2262 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
112 |
Modular degree for the optimal curve |
Δ |
-2262 = -1 · 2 · 3 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 3 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
-15625/2262 |
j-invariant |
L |
2.7784106821952 |
L(r)(E,1)/r! |
Ω |
3.776896062168 |
Real period |
R |
0.73563334454069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18096q1 72384n1 6786j1 56550bm1 |
Quadratic twists by: -4 8 -3 5 |