Atkin-Lehner |
2+ 3- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990t |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-5332360896000 = -1 · 29 · 310 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -5 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,990,-110700] |
[a1,a2,a3,a4,a6] |
Generators |
[51:240:1] |
Generators of the group modulo torsion |
j |
147114332639/7314624000 |
j-invariant |
L |
2.4596475837144 |
L(r)(E,1)/r! |
Ω |
0.36572110859365 |
Real period |
R |
3.3627367636912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997945352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330bh1 |
Quadratic twists by: -3 |