Atkin-Lehner |
2- 3- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78228g |
Isogeny class |
Conductor |
78228 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-46704939717888 = -1 · 28 · 36 · 412 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11415,-573122] |
[a1,a2,a3,a4,a6] |
j |
-881422162000/250262237 |
j-invariant |
L |
1.8207403080368 |
L(r)(E,1)/r! |
Ω |
0.22759253962276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8692a1 |
Quadratic twists by: -3 |