Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220w |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-28631060640000 = -1 · 28 · 32 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2956,-265756] |
[a1,a2,a3,a4,a6] |
Generators |
[104:750:1] |
Generators of the group modulo torsion |
j |
-94875856/950625 |
j-invariant |
L |
6.5294214571989 |
L(r)(E,1)/r! |
Ω |
0.2816852953327 |
Real period |
R |
1.9316537418962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660bu2 780a2 |
Quadratic twists by: -3 -7 |