Atkin-Lehner |
2+ 3+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670a |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33440 |
Modular degree for the optimal curve |
Δ |
375198842880 = 219 · 35 · 5 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -5 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3952,89344] |
[a1,a2,a3,a4,a6] |
j |
6828828647652361/375198842880 |
j-invariant |
L |
0.93915784744651 |
L(r)(E,1)/r! |
Ω |
0.93915784744651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53010bm1 88350cm1 |
Quadratic twists by: -3 5 |