Atkin-Lehner |
3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6279j |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-6083578683 = -1 · 33 · 73 · 134 · 23 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2308,42082] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-20:1] |
Generators of the group modulo torsion |
j |
-1360251712000000/6083578683 |
j-invariant |
L |
2.5162951253586 |
L(r)(E,1)/r! |
Ω |
1.3502726186221 |
Real period |
R |
0.15529549926039 |
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 |
100464bj1 18837g1 43953i1 81627w1 |
Quadratic twists by: -4 -3 -7 13 |