Atkin-Lehner |
2+ 3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390w |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3153920 |
Modular degree for the optimal curve |
Δ |
1.2546220916736E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1302219,191974725] |
[a1,a2,a3,a4,a6] |
j |
335002813363748261809/172101795840000000 |
j-invariant |
L |
2.2915340947452 |
L(r)(E,1)/r! |
Ω |
0.16368100693462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130x1 |
Quadratic twists by: -3 |