Atkin-Lehner |
3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743bl |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
43794432 |
Modular degree for the optimal curve |
Δ |
1.12854000716E+26 |
Discriminant |
Eigenvalues |
1 3- -4 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133735383,-305160520283] |
[a1,a2,a3,a4,a6] |
Generators |
[-67178:3834591:8] |
Generators of the group modulo torsion |
j |
2248404494558062708282969/959243178573593340273 |
j-invariant |
L |
7.1256343160768 |
L(r)(E,1)/r! |
Ω |
0.04613385034478 |
Real period |
R |
1.4301450212613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998692032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18249d1 |
Quadratic twists by: -7 |