Atkin-Lehner |
5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1615a |
Isogeny class |
Conductor |
1615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2144921875 = -1 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 -4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120,2275] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:35:1] [15:-70:1] |
Generators of the group modulo torsion |
j |
-191202526081/2144921875 |
j-invariant |
L |
1.7043207462393 |
L(r)(E,1)/r! |
Ω |
1.2467132893974 |
Real period |
R |
0.3417627695026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25840bb2 103360j2 14535j2 8075c2 |
Quadratic twists by: -4 8 -3 5 |