Atkin-Lehner |
2- 3+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bb |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
4071168 |
Modular degree for the optimal curve |
Δ |
2.6767195210202E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1729844,384164503] |
[a1,a2,a3,a4,a6] |
Generators |
[1829:56845:1] |
Generators of the group modulo torsion |
j |
21202180684852439282499/9913776003778347008 |
j-invariant |
L |
12.476715386405 |
L(r)(E,1)/r! |
Ω |
0.15575477717249 |
Real period |
R |
4.2160455181293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494d1 |
Quadratic twists by: -3 |