Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430bl |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
52581694072836600 = 23 · 36 · 52 · 7 · 616 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-215483,36939827] |
[a1,a2,a3,a4,a6] |
Generators |
[-2013778:-135275295:17576] |
Generators of the group modulo torsion |
j |
1517865654542204521/72128524105400 |
j-invariant |
L |
8.9765504849382 |
L(r)(E,1)/r! |
Ω |
0.35080290979619 |
Real period |
R |
12.794293083477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4270d4 |
Quadratic twists by: -3 |