Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9537m |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-149523874911500067 = -1 · 311 · 112 · 178 |
Discriminant |
Eigenvalues |
-1 3- 2 -3 11- -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2772672,-1777362957] |
[a1,a2,a3,a4,a6] |
j |
-337930850201473/21434787 |
j-invariant |
L |
1.2869627063589 |
L(r)(E,1)/r! |
Ω |
0.058498304834497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28611l1 104907bl1 9537d1 |
Quadratic twists by: -3 -11 17 |