Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280bs |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-3159723628339200 = -1 · 213 · 37 · 52 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32584,-1468716] |
[a1,a2,a3,a4,a6] |
Generators |
[46:360:1] [94:1560:1] |
Generators of the group modulo torsion |
j |
934036024855751/771416901450 |
j-invariant |
L |
10.647241149385 |
L(r)(E,1)/r! |
Ω |
0.2483173654461 |
Real period |
R |
0.15313412003824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410c1 |
Quadratic twists by: -4 |