Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bt |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-125709179904 = -1 · 210 · 313 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1881,36369] |
[a1,a2,a3,a4,a6] |
Generators |
[32:89:1] |
Generators of the group modulo torsion |
j |
-719152519936/122762871 |
j-invariant |
L |
3.63652011456 |
L(r)(E,1)/r! |
Ω |
1.004828220338 |
Real period |
R |
3.619046560353 |
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 |
14784bc1 3696t1 44352dj1 103488ig1 |
Quadratic twists by: -4 8 -3 -7 |