Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760dj |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5240972317593600 = 212 · 310 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48243,2121842] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:1960:1] [-49:2090:1] |
Generators of the group modulo torsion |
j |
4158523459441/1755191025 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
5985j2 31920be2 |
Quadratic twists by: -4 -3 |