Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760dj |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-91196295966720 = -1 · 212 · 314 · 5 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10077,243938] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:416:1] [1:504:1] |
Generators of the group modulo torsion |
j |
37899197279/30541455 |
j-invariant |
L |
9.9780808105707 |
L(r)(E,1)/r! |
Ω |
0.38873412575757 |
Real period |
R |
3.208517129529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5985j1 31920be1 |
Quadratic twists by: -4 -3 |