Atkin-Lehner |
2- 3+ 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
31476d |
Isogeny class |
Conductor |
31476 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12720 |
Modular degree for the optimal curve |
Δ |
-163171584 = -1 · 28 · 35 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 6 7 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,616] |
[a1,a2,a3,a4,a6] |
j |
-35152/637389 |
j-invariant |
L |
4.3545557537207 |
L(r)(E,1)/r! |
Ω |
1.4515185845747 |
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 |
125904q1 94428k1 |
Quadratic twists by: -4 -3 |