Atkin-Lehner |
3- 5+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825x |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
23402779453125 = 311 · 57 · 19 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -2 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9908,296594] |
[a1,a2,a3,a4,a6] |
Generators |
[88:337:1] [-87:712:1] |
Generators of the group modulo torsion |
j |
6885024845824/1497777885 |
j-invariant |
L |
7.7227933894494 |
L(r)(E,1)/r! |
Ω |
0.63745669314671 |
Real period |
R |
0.2753411071669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365c1 |
Quadratic twists by: 5 |