Atkin-Lehner |
2+ 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650o |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-10041975000000 = -1 · 26 · 36 · 58 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5374,16148] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-584:1] [21:361:1] |
Generators of the group modulo torsion |
j |
1098785291759/642686400 |
j-invariant |
L |
9.4790947285576 |
L(r)(E,1)/r! |
Ω |
0.43865626175378 |
Real period |
R |
1.8007825935626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530v1 |
Quadratic twists by: 5 |