Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bz |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
15804582948 = 22 · 310 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698,-3531] |
[a1,a2,a3,a4,a6] |
Generators |
[-844:4035:64] |
Generators of the group modulo torsion |
j |
51520374361/21679812 |
j-invariant |
L |
14.963641922547 |
L(r)(E,1)/r! |
Ω |
0.96446520406185 |
Real period |
R |
3.878740729973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498h1 |
Quadratic twists by: -3 |