Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6175a |
Isogeny class |
Conductor |
6175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-117325 = -1 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 0 5+ 1 5 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[10:23:1] |
Generators of the group modulo torsion |
j |
-4021785/4693 |
j-invariant |
L |
2.5736477474534 |
L(r)(E,1)/r! |
Ω |
1.2947799637915 |
Real period |
R |
0.99385525704193 |
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 |
98800bp1 55575h1 6175h1 80275h1 |
Quadratic twists by: -4 -3 5 13 |