Atkin-Lehner |
2+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
105400a |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
-2923215249293750000 = -1 · 24 · 58 · 17 · 317 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -3 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,205992,74040113] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:5689:1] |
Generators of the group modulo torsion |
j |
3866630371061504/11692860997175 |
j-invariant |
L |
4.3929211078587 |
L(r)(E,1)/r! |
Ω |
0.17901163965411 |
Real period |
R |
6.1349657261595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080j1 |
Quadratic twists by: 5 |