Atkin-Lehner |
5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59245c |
Isogeny class |
Conductor |
59245 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25359533430625 = -1 · 54 · 176 · 412 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 -6 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4630,-271323] |
[a1,a2,a3,a4,a6] |
Generators |
[92:243:1] [109:668:1] |
Generators of the group modulo torsion |
j |
-454756609/1050625 |
j-invariant |
L |
4.139375887581 |
L(r)(E,1)/r! |
Ω |
0.27040121163889 |
Real period |
R |
1.9135342730567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205b2 |
Quadratic twists by: 17 |