Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944g |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
25996639502592 = 28 · 33 · 113 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8055,-131338] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:328:1] |
Generators of the group modulo torsion |
j |
8362124262000/3761087891 |
j-invariant |
L |
7.2090088265103 |
L(r)(E,1)/r! |
Ω |
0.52562092628708 |
Real period |
R |
1.1429353465476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472b1 64944b1 |
Quadratic twists by: -4 -3 |