Atkin-Lehner |
2+ 3+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718a |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
7885852547328 = 28 · 39 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6260,-137136] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:53:1] |
Generators of the group modulo torsion |
j |
27136579651287625/7885852547328 |
j-invariant |
L |
2.7602014417592 |
L(r)(E,1)/r! |
Ω |
0.54865409378046 |
Real period |
R |
2.5154295511952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154bz1 |
Quadratic twists by: -3 |