Atkin-Lehner |
3- 7- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95571g |
Isogeny class |
Conductor |
95571 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-231378251139 = -1 · 312 · 7 · 37 · 412 |
Discriminant |
Eigenvalues |
0 3- 3 7- -3 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1464,-8411] |
[a1,a2,a3,a4,a6] |
Generators |
[37:310:1] |
Generators of the group modulo torsion |
j |
476013658112/317391291 |
j-invariant |
L |
6.8597421376388 |
L(r)(E,1)/r! |
Ω |
0.564275314787 |
Real period |
R |
3.0391822764166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31857a1 |
Quadratic twists by: -3 |