Atkin-Lehner |
2+ 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ci |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-229851888814080000 = -1 · 214 · 314 · 54 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15192,-23073984] |
[a1,a2,a3,a4,a6] |
j |
-851093163025/504476024832 |
j-invariant |
L |
1.1294328220822 |
L(r)(E,1)/r! |
Ω |
0.14117913383962 |
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 |
37050cn1 111150dv1 |
Quadratic twists by: -3 5 |