Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62928q |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
4792781769415852032 = 226 · 39 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32674131,-71887555566] |
[a1,a2,a3,a4,a6] |
Generators |
[22149517:1734677504:2197] |
Generators of the group modulo torsion |
j |
47850293885712792579/59447885824 |
j-invariant |
L |
6.7109133242882 |
L(r)(E,1)/r! |
Ω |
0.06314639698508 |
Real period |
R |
8.8562895705708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7866b1 62928t1 |
Quadratic twists by: -4 -3 |