Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640bf |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-28327194132480 = -1 · 219 · 311 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38280,-2906892] |
[a1,a2,a3,a4,a6] |
j |
-1514575392925321/6915818880 |
j-invariant |
L |
3.7534416655912 |
L(r)(E,1)/r! |
Ω |
0.1706109847996 |
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 |
1830a1 58560cj1 43920bh1 73200bf1 |
Quadratic twists by: -4 8 -3 5 |