Atkin-Lehner |
2- 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272q |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-3085056 = -1 · 28 · 32 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 0 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4917,134361] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-2:1] |
Generators of the group modulo torsion |
j |
-51365638832128/12051 |
j-invariant |
L |
3.2945394786576 |
L(r)(E,1)/r! |
Ω |
2.0119326795531 |
Real period |
R |
0.40937496469087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16068h1 |
Quadratic twists by: -4 |