Atkin-Lehner |
3- 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14637d |
Isogeny class |
Conductor |
14637 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
213285519153 = 32 · 76 · 173 · 41 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4540,115229] |
[a1,a2,a3,a4,a6] |
Generators |
[-1845:53756:125] |
Generators of the group modulo torsion |
j |
10345554021193273/213285519153 |
j-invariant |
L |
7.5143844043285 |
L(r)(E,1)/r! |
Ω |
0.99858297424377 |
Real period |
R |
7.5250475905812 |
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 |
43911c1 102459f1 |
Quadratic twists by: -3 -7 |