Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87248v |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
188329507006971904 = 221 · 75 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -4 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195112,-25841996] |
[a1,a2,a3,a4,a6] |
Generators |
[-324:1862:1] [-210:2432:1] |
Generators of the group modulo torsion |
j |
200547813826867753/45978883546624 |
j-invariant |
L |
10.804754038697 |
L(r)(E,1)/r! |
Ω |
0.23090200878495 |
Real period |
R |
0.58492096364228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906a1 |
Quadratic twists by: -4 |