Atkin-Lehner |
2- 5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14630r |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
103936 |
Modular degree for the optimal curve |
Δ |
1718154690560000 = 228 · 54 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136747,-19326981] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:362:1] |
Generators of the group modulo torsion |
j |
282796582574037432321/1718154690560000 |
j-invariant |
L |
7.0330494205481 |
L(r)(E,1)/r! |
Ω |
0.24835864338649 |
Real period |
R |
2.0227227288987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117040cq1 73150g1 102410bk1 |
Quadratic twists by: -4 5 -7 |