Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251q |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6589440 |
Modular degree for the optimal curve |
Δ |
-9.0492812595316E+21 |
Discriminant |
Eigenvalues |
2 3- 1 -4 11- -2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4556013,2633817073] |
[a1,a2,a3,a4,a6] |
Generators |
[303443189732629968362:25684797879263702738741:47511088129690856] |
Generators of the group modulo torsion |
j |
66928264933376/57908868219 |
j-invariant |
L |
11.300145614054 |
L(r)(E,1)/r! |
Ω |
0.08445964517904 |
Real period |
R |
33.448357467342 |
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 |
21417h1 64251t1 |
Quadratic twists by: -3 -11 |