Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bz |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
1593770787326656512 = 230 · 313 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -6 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-584652,-160988560] |
[a1,a2,a3,a4,a6] |
Generators |
[1045:19215:1] |
Generators of the group modulo torsion |
j |
115650783909361/8339853312 |
j-invariant |
L |
3.6272290653825 |
L(r)(E,1)/r! |
Ω |
0.17343888065963 |
Real period |
R |
5.2283966747572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ff1 2394d1 25536k1 |
Quadratic twists by: -4 8 -3 |