Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15504j |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-21323047606272 = -1 · 211 · 38 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6992,313908] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:714:1] |
Generators of the group modulo torsion |
j |
-18461208629666/10411644339 |
j-invariant |
L |
6.7076225870178 |
L(r)(E,1)/r! |
Ω |
0.63160656287101 |
Real period |
R |
2.6549845193691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7752h4 62016cj3 46512b3 |
Quadratic twists by: -4 8 -3 |