Atkin-Lehner |
7+ 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14413a |
Isogeny class |
Conductor |
14413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4640 |
Modular degree for the optimal curve |
Δ |
-29676367 = -1 · 7 · 292 · 712 |
Discriminant |
Eigenvalues |
1 0 2 7+ 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-686,7095] |
[a1,a2,a3,a4,a6] |
Generators |
[980:-345:64] |
Generators of the group modulo torsion |
j |
-35731571680953/29676367 |
j-invariant |
L |
5.8028106223152 |
L(r)(E,1)/r! |
Ω |
2.0786031989371 |
Real period |
R |
2.791687526163 |
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 |
129717b1 100891a1 |
Quadratic twists by: -3 -7 |