Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14630v |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
262169600 = 210 · 52 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-160,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:32:1] |
Generators of the group modulo torsion |
j |
453161802241/262169600 |
j-invariant |
L |
5.165852905901 |
L(r)(E,1)/r! |
Ω |
1.4778023060731 |
Real period |
R |
0.34956319154949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040ci1 73150q1 102410bq1 |
Quadratic twists by: -4 5 -7 |