Atkin-Lehner |
2+ 5- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
116150m |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
1531769102720000 = 210 · 54 · 23 · 1014 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 3 3 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98900,11781200] |
[a1,a2,a3,a4,a6] |
Generators |
[117864:104284:729] |
Generators of the group modulo torsion |
j |
171174643040059225/2450830564352 |
j-invariant |
L |
5.6518958015836 |
L(r)(E,1)/r! |
Ω |
0.47786903593067 |
Real period |
R |
2.9568225818567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999560218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150x1 |
Quadratic twists by: 5 |