Atkin-Lehner |
2+ 3+ 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650d |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-90628824375000000 = -1 · 26 · 36 · 510 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,58600,13440000] |
[a1,a2,a3,a4,a6] |
j |
1424245822088831/5800244760000 |
j-invariant |
L |
2.9049032469614 |
L(r)(E,1)/r! |
Ω |
0.24207526427845 |
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 |
16530z1 |
Quadratic twists by: 5 |