Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79764d |
Isogeny class |
Conductor |
79764 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
65234000878848 = 28 · 33 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 -4 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26973,-1651239] |
[a1,a2,a3,a4,a6] |
Generators |
[-35560:48623:343] |
Generators of the group modulo torsion |
j |
351232000/10557 |
j-invariant |
L |
6.2286117318373 |
L(r)(E,1)/r! |
Ω |
0.3732196140574 |
Real period |
R |
8.3444324708893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4692c1 |
Quadratic twists by: 17 |