Atkin-Lehner |
3- 13- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82251f |
Isogeny class |
Conductor |
82251 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-3553268487987699 = -1 · 314 · 134 · 19 · 372 |
Discriminant |
Eigenvalues |
2 3- 3 -1 5 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73011,-8116857] |
[a1,a2,a3,a4,a6] |
j |
-59042001882124288/4874168021931 |
j-invariant |
L |
9.2502957857453 |
L(r)(E,1)/r! |
Ω |
0.14453587081191 |
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 |
27417b1 |
Quadratic twists by: -3 |