Atkin-Lehner |
5+ 29- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12905a |
Isogeny class |
Conductor |
12905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28011864005 = -1 · 5 · 294 · 892 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 -4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1533,24842] |
[a1,a2,a3,a4,a6] |
Generators |
[20:33:1] [27:37:1] |
Generators of the group modulo torsion |
j |
-398184690879009/28011864005 |
j-invariant |
L |
3.9460174323667 |
L(r)(E,1)/r! |
Ω |
1.1625772267133 |
Real period |
R |
1.6970990578937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116145k2 64525b2 |
Quadratic twists by: -3 5 |