Atkin-Lehner |
2+ 3+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15738a |
Isogeny class |
Conductor |
15738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-146174544 = -1 · 24 · 34 · 432 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -3 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-523,4429] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:49:1] [-6:89:1] |
Generators of the group modulo torsion |
j |
-15868125221689/146174544 |
j-invariant |
L |
4.3238924280149 |
L(r)(E,1)/r! |
Ω |
1.841934738069 |
Real period |
R |
0.29343414960962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125904t1 47214k1 |
Quadratic twists by: -4 -3 |