Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14210k |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-12411385960960 = -1 · 29 · 5 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 1 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4738,212097] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1353:1] |
Generators of the group modulo torsion |
j |
-2040039729/2152960 |
j-invariant |
L |
6.300811267222 |
L(r)(E,1)/r! |
Ω |
0.64712106229512 |
Real period |
R |
0.1803089049828 |
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 |
113680t1 127890cd1 71050d1 14210r1 |
Quadratic twists by: -4 -3 5 -7 |