Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
25280u |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-202240000 = -1 · 212 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,665] |
[a1,a2,a3,a4,a6] |
Generators |
[11:48:1] |
Generators of the group modulo torsion |
j |
1560896/49375 |
j-invariant |
L |
6.0469950928871 |
L(r)(E,1)/r! |
Ω |
1.3448423698733 |
Real period |
R |
2.248217050693 |
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 |
25280o1 12640f1 126400cj1 |
Quadratic twists by: -4 8 5 |