Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640be |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
137250000 = 24 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,270] |
[a1,a2,a3,a4,a6] |
j |
19513606144/8578125 |
j-invariant |
L |
1.6583471421693 |
L(r)(E,1)/r! |
Ω |
1.6583471421693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3660b1 58560cq1 43920ce1 73200bp1 |
Quadratic twists by: -4 8 -3 5 |