Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430bm |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
1457458618407321600 = 224 · 37 · 52 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-832298,286635881] |
[a1,a2,a3,a4,a6] |
Generators |
[-987:12571:1] |
Generators of the group modulo torsion |
j |
87464586583233903961/1999257364070400 |
j-invariant |
L |
8.3938231822024 |
L(r)(E,1)/r! |
Ω |
0.268767219511 |
Real period |
R |
1.9519268378118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
12810h3 |
Quadratic twists by: -3 |