Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400u |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-5178302000 = -1 · 24 · 53 · 174 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-430,-4875] |
[a1,a2,a3,a4,a6] |
Generators |
[26:39:1] [70:555:1] |
Generators of the group modulo torsion |
j |
-4396419072/2589151 |
j-invariant |
L |
10.555358374004 |
L(r)(E,1)/r! |
Ω |
0.51040853103407 |
Real period |
R |
10.340107708778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105400j1 |
Quadratic twists by: 5 |