Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3825a |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-444405234375 = -1 · 39 · 57 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3755,95122] |
[a1,a2,a3,a4,a6] |
Generators |
[14:205:1] |
Generators of the group modulo torsion |
j |
-19034163/1445 |
j-invariant |
L |
1.9498802735733 |
L(r)(E,1)/r! |
Ω |
0.92199112589765 |
Real period |
R |
0.52871449052041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200dg1 3825c1 765a1 65025j1 |
Quadratic twists by: -4 -3 5 17 |