Atkin-Lehner |
2+ 3- 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378m |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
19409948251722 = 2 · 314 · 7 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -6 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39789,-3037581] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:135:1] |
Generators of the group modulo torsion |
j |
9556335678245329/26625443418 |
j-invariant |
L |
2.1287639627647 |
L(r)(E,1)/r! |
Ω |
0.33808898069335 |
Real period |
R |
1.0494101806334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993093047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126t1 |
Quadratic twists by: -3 |