Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565br |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
88988374397050425 = 37 · 52 · 117 · 174 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-123624,8628043] |
[a1,a2,a3,a4,a6] |
j |
161789533849/68904825 |
j-invariant |
L |
2.4539310937131 |
L(r)(E,1)/r! |
Ω |
0.30674138709175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30855d1 8415o1 |
Quadratic twists by: -3 -11 |