Atkin-Lehner |
3- 13+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82251c |
Isogeny class |
Conductor |
82251 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
-313435231408611 = -1 · 36 · 13 · 197 · 37 |
Discriminant |
Eigenvalues |
1 3- 1 -2 0 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16956,53671] |
[a1,a2,a3,a4,a6] |
Generators |
[6052510:210532747:4913] |
Generators of the group modulo torsion |
j |
739523535532991/429952306459 |
j-invariant |
L |
7.6923055022778 |
L(r)(E,1)/r! |
Ω |
0.32776987350673 |
Real period |
R |
11.734308311144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9139a1 |
Quadratic twists by: -3 |