Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350fg |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-3909262500000 = -1 · 25 · 37 · 58 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,445,94947] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:240:1] |
Generators of the group modulo torsion |
j |
34295/13728 |
j-invariant |
L |
8.6872176616587 |
L(r)(E,1)/r! |
Ω |
0.60896765247409 |
Real period |
R |
0.23775804912017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450p1 64350bx1 |
Quadratic twists by: -3 5 |