Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26896b |
Isogeny class |
Conductor |
26896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
49857094113536 = 28 · 417 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 2 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20732,-1090720] |
[a1,a2,a3,a4,a6] |
Generators |
[278198429:2061981840:1442897] |
Generators of the group modulo torsion |
j |
810448/41 |
j-invariant |
L |
8.3246373827583 |
L(r)(E,1)/r! |
Ω |
0.39911690048094 |
Real period |
R |
10.428820945351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13448b1 107584n1 656b1 |
Quadratic twists by: -4 8 41 |