Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483x |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-3548222643 = -1 · 3 · 72 · 176 |
Discriminant |
Eigenvalues |
2 3- -2 7- 2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-674,-7549] |
[a1,a2,a3,a4,a6] |
Generators |
[3162508278:23051198825:49027896] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
12.438469093503 |
L(r)(E,1)/r! |
Ω |
0.46568143523158 |
Real period |
R |
13.355126651456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449bq1 42483c1 147c1 |
Quadratic twists by: -3 -7 17 |