Atkin-Lehner |
2- 3- 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870bo |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1119744 |
Modular degree for the optimal curve |
Δ |
-4454359366383000 = -1 · 23 · 312 · 53 · 17 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36238,-1814839] |
[a1,a2,a3,a4,a6] |
Generators |
[5844:93031:64] [195:3457:1] |
Generators of the group modulo torsion |
j |
7219382979241511/6110232327000 |
j-invariant |
L |
16.196034822084 |
L(r)(E,1)/r! |
Ω |
0.24072005375983 |
Real period |
R |
0.62297794925607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290o1 |
Quadratic twists by: -3 |