Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bd |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-40821848514092800 = -1 · 28 · 52 · 77 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,62882,7577581] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:907:1] [-89:1171:1] |
Generators of the group modulo torsion |
j |
233733512504799/346979987200 |
j-invariant |
L |
16.216398458733 |
L(r)(E,1)/r! |
Ω |
0.2460486996585 |
Real period |
R |
2.0596022355837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991376 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17710i1 |
Quadratic twists by: -7 |