Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470co |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3228851808000 = -1 · 28 · 38 · 53 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,261,86373] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:219:1] [-26:261:1] |
Generators of the group modulo torsion |
j |
1225043/2016000 |
j-invariant |
L |
8.8695358928421 |
L(r)(E,1)/r! |
Ω |
0.62395131540941 |
Real period |
R |
1.1845924078612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490da1 106470fa1 |
Quadratic twists by: -3 13 |