Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784cg |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-8449588224 = -1 · 210 · 37 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49,-4441] |
[a1,a2,a3,a4,a6] |
j |
-12967168/8251551 |
j-invariant |
L |
4.1173590982562 |
L(r)(E,1)/r! |
Ω |
0.58819415689374 |
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 |
14784p1 3696a1 44352dp1 103488gs1 |
Quadratic twists by: -4 8 -3 -7 |