Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1911d |
Isogeny class |
Conductor |
1911 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1025886691557 = -1 · 34 · 78 · 133 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ -5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,979,-47202] |
[a1,a2,a3,a4,a6] |
j |
17999471/177957 |
j-invariant |
L |
1.7302465363175 |
L(r)(E,1)/r! |
Ω |
0.43256163407937 |
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 |
30576bj1 122304h1 5733c1 47775h1 |
Quadratic twists by: -4 8 -3 5 |