Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
280b |
Isogeny class |
Conductor |
280 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-274400000 = -1 · 28 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -5 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412,3316] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:70:1] |
Generators of the group modulo torsion |
j |
-30211716096/1071875 |
j-invariant |
L |
1.1698436165891 |
L(r)(E,1)/r! |
Ω |
1.728871393958 |
Real period |
R |
0.011277526875601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
560b1 2240d1 2520p1 1400i1 |
Quadratic twists by: -4 8 -3 5 |