Atkin-Lehner |
7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111853d |
Isogeny class |
Conductor |
111853 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
104400 |
Modular degree for the optimal curve |
Δ |
14576794813 = 7 · 195 · 292 |
Discriminant |
Eigenvalues |
2 1 2 7+ 4 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1092,12259] |
[a1,a2,a3,a4,a6] |
j |
171393077248/17332693 |
j-invariant |
L |
6.0652239225984 |
L(r)(E,1)/r! |
Ω |
1.2130449986282 |
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 |
111853c1 |
Quadratic twists by: 29 |