Atkin-Lehner |
3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14805a |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2529573046875 = -1 · 39 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 1 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12294288,16592169944] |
[a1,a2,a3,a4,a6] |
j |
-10441011330958888009728/128515625 |
j-invariant |
L |
1.643955240769 |
L(r)(E,1)/r! |
Ω |
0.41098881019224 |
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 |
14805b1 74025c1 103635e1 |
Quadratic twists by: -3 5 -7 |