Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784be |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1239682752 = 26 · 33 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1804,28850] |
[a1,a2,a3,a4,a6] |
Generators |
[29:42:1] |
Generators of the group modulo torsion |
j |
10150654719808/19370043 |
j-invariant |
L |
5.3810314522405 |
L(r)(E,1)/r! |
Ω |
1.5353478479766 |
Real period |
R |
1.1682545770398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784j1 7392l3 44352cm1 103488u1 |
Quadratic twists by: -4 8 -3 -7 |