Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784y |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2.6564916056909E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96073,-248274313] |
[a1,a2,a3,a4,a6] |
Generators |
[1163:34848:1] |
Generators of the group modulo torsion |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
5.8809483650749 |
L(r)(E,1)/r! |
Ω |
0.094474915719715 |
Real period |
R |
1.0374796879986 |
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 |
14784n1 7392a1 44352p1 103488bn1 |
Quadratic twists by: -4 8 -3 -7 |