Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608da |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
152244125171712 = 224 · 33 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31020,-2017328] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:228:1] |
Generators of the group modulo torsion |
j |
466385893875/21509824 |
j-invariant |
L |
6.1754125492383 |
L(r)(E,1)/r! |
Ω |
0.36076766186262 |
Real period |
R |
1.4264518878808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608g1 19152bc1 76608db3 |
Quadratic twists by: -4 8 -3 |