Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14210l |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-13374338320 = -1 · 24 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -3 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,407,-4679] |
[a1,a2,a3,a4,a6] |
Generators |
[37:226:1] |
Generators of the group modulo torsion |
j |
1296351/2320 |
j-invariant |
L |
6.2979342776446 |
L(r)(E,1)/r! |
Ω |
0.65965800880191 |
Real period |
R |
0.79560597986765 |
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 |
113680u1 127890cf1 71050e1 14210s1 |
Quadratic twists by: -4 -3 5 -7 |