Atkin-Lehner |
3+ 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14637a |
Isogeny class |
Conductor |
14637 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-172659705981 = -1 · 3 · 75 · 174 · 41 |
Discriminant |
Eigenvalues |
1 3+ 1 7+ -2 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1452,-29823] |
[a1,a2,a3,a4,a6] |
j |
-338915024892361/172659705981 |
j-invariant |
L |
1.5103176340642 |
L(r)(E,1)/r! |
Ω |
0.37757940851606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43911a1 102459q1 |
Quadratic twists by: -3 -7 |