Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040w |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-131300000000000000 = -1 · 214 · 514 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 3 5- 0 0 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,71093,15833594] |
[a1,a2,a3,a4,a6] |
Generators |
[4701:-156250:27] |
Generators of the group modulo torsion |
j |
9701620615116639/32055664062500 |
j-invariant |
L |
13.289995243268 |
L(r)(E,1)/r! |
Ω |
0.23272787543627 |
Real period |
R |
2.0394750128046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130j1 |
Quadratic twists by: -4 |