Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304p |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
517201215552 = 26 · 311 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13557,606580] |
[a1,a2,a3,a4,a6] |
Generators |
[89:324:1] |
Generators of the group modulo torsion |
j |
5906184342976/11085417 |
j-invariant |
L |
4.7531169392505 |
L(r)(E,1)/r! |
Ω |
0.92851906429358 |
Real period |
R |
1.2797574982659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bm1 76608bm1 12768ba1 |
Quadratic twists by: -4 8 -3 |