Atkin-Lehner |
2- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14630n |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-62312096000 = -1 · 28 · 53 · 7 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,904,-5824] |
[a1,a2,a3,a4,a6] |
Generators |
[8:40:1] |
Generators of the group modulo torsion |
j |
81695658425471/62312096000 |
j-invariant |
L |
7.9556553242449 |
L(r)(E,1)/r! |
Ω |
0.61784054274974 |
Real period |
R |
0.40239222207105 |
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 |
117040bl1 73150k1 102410cq1 |
Quadratic twists by: -4 5 -7 |