Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350cb |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-720555264000 = -1 · 211 · 39 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2232,-57024] |
[a1,a2,a3,a4,a6] |
Generators |
[69:303:1] |
Generators of the group modulo torsion |
j |
-13498272341/7907328 |
j-invariant |
L |
5.0346626491652 |
L(r)(E,1)/r! |
Ω |
0.33818187451802 |
Real period |
R |
1.8609301047413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450cv1 64350fa1 |
Quadratic twists by: -3 5 |