Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14924d |
Isogeny class |
Conductor |
14924 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
122304 |
Modular degree for the optimal curve |
Δ |
-7744707580390144 = -1 · 28 · 77 · 13 · 414 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69109,-8151759] |
[a1,a2,a3,a4,a6] |
Generators |
[6255:494214:1] |
Generators of the group modulo torsion |
j |
-142591572175224832/30252763985899 |
j-invariant |
L |
8.2422190293616 |
L(r)(E,1)/r! |
Ω |
0.14557204057422 |
Real period |
R |
1.3480838040657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59696k1 104468bc1 |
Quadratic twists by: -4 -7 |