Atkin-Lehner |
2+ 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14910z |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-389721253824000000 = -1 · 212 · 36 · 56 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,102022,27299756] |
[a1,a2,a3,a4,a6] |
j |
117438725769020024039/389721253824000000 |
j-invariant |
L |
2.5511466365148 |
L(r)(E,1)/r! |
Ω |
0.2125955530429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
119280bl1 44730bo1 74550bt1 104370c1 |
Quadratic twists by: -4 -3 5 -7 |