Atkin-Lehner |
7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64757g |
Isogeny class |
Conductor |
64757 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1065344 |
Modular degree for the optimal curve |
Δ |
-12287552641561043 = -1 · 7 · 112 · 299 |
Discriminant |
Eigenvalues |
2 3 -2 7+ 11- -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,24389,5127787] |
[a1,a2,a3,a4,a6] |
Generators |
[2798151088530:58826730737593:9024895368] |
Generators of the group modulo torsion |
j |
110592/847 |
j-invariant |
L |
19.130002140289 |
L(r)(E,1)/r! |
Ω |
0.2921730703899 |
Real period |
R |
16.368724635333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64757c1 |
Quadratic twists by: 29 |