Atkin-Lehner |
2+ 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550g |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1267680 |
Modular degree for the optimal curve |
Δ |
260300800000000 = 219 · 58 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ 3 5- 5 -1 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-414367,102766541] |
[a1,a2,a3,a4,a6] |
j |
20142795811273065/666370048 |
j-invariant |
L |
6.1900704780617 |
L(r)(E,1)/r! |
Ω |
0.51583920590232 |
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 |
63550o1 |
Quadratic twists by: 5 |