Atkin-Lehner |
3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15111c |
Isogeny class |
Conductor |
15111 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
184703913873 = 314 · 232 · 73 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3155,65778] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:81:1] [-34:381:1] |
Generators of the group modulo torsion |
j |
4762831515625/253366137 |
j-invariant |
L |
4.3230328860004 |
L(r)(E,1)/r! |
Ω |
0.99693161413102 |
Real period |
R |
2.1681692228045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037e2 |
Quadratic twists by: -3 |