Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686dj |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
1461651792386058 = 2 · 37 · 711 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35526,-1808262] |
[a1,a2,a3,a4,a6] |
j |
249395415529/73513818 |
j-invariant |
L |
9.9575403538325 |
L(r)(E,1)/r! |
Ω |
0.35562644119426 |
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 |
7098s1 49686br1 |
Quadratic twists by: -7 13 |