Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350x |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
-924656205824000 = -1 · 220 · 53 · 135 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 3 2 13- 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19103,1773381] |
[a1,a2,a3,a4,a6] |
j |
-6167651797092869/7397249646592 |
j-invariant |
L |
3.5993988674441 |
L(r)(E,1)/r! |
Ω |
0.44992485843051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
98800dc2 111150cn2 12350f2 |
Quadratic twists by: -4 -3 5 |