Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14630t |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-337494671360 = -1 · 222 · 5 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1425,-34903] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2715:1] |
Generators of the group modulo torsion |
j |
-320027539885201/337494671360 |
j-invariant |
L |
8.8067463743235 |
L(r)(E,1)/r! |
Ω |
0.37289340215888 |
Real period |
R |
0.53675749029179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117040cg1 73150o1 102410bn1 |
Quadratic twists by: -4 5 -7 |