Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
38192w |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-5.8554906628313E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4368,368161216] |
[a1,a2,a3,a4,a6] |
Generators |
[-270:18634:1] |
Generators of the group modulo torsion |
j |
2249635843727/14295631501053056 |
j-invariant |
L |
3.867919119011 |
L(r)(E,1)/r! |
Ω |
0.15699061974914 |
Real period |
R |
0.30797374432244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774g1 |
Quadratic twists by: -4 |