Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176u |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-18704203776 = -1 · 215 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 0 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20979,1169586] |
[a1,a2,a3,a4,a6] |
Generators |
[87:54:1] |
Generators of the group modulo torsion |
j |
-12665630691/232 |
j-invariant |
L |
3.1523776014704 |
L(r)(E,1)/r! |
Ω |
1.1247847620162 |
Real period |
R |
0.70066240847262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
522c2 16704br2 4176p1 104400dd2 |
Quadratic twists by: -4 8 -3 5 |