Atkin-Lehner |
5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275r |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-393526343919921875 = -1 · 59 · 139 · 19 |
Discriminant |
Eigenvalues |
1 -3 5- 1 -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-220492,-49935209] |
[a1,a2,a3,a4,a6] |
j |
-125751501/41743 |
j-invariant |
L |
0.43333931304863 |
L(r)(E,1)/r! |
Ω |
0.10833483181565 |
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 |
80275u1 6175f1 |
Quadratic twists by: 5 13 |