Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ex |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-59020311352504320 = -1 · 212 · 38 · 5 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97312,291971] |
[a1,a2,a3,a4,a6] |
j |
28962726911/16773120 |
j-invariant |
L |
5.0565243067082 |
L(r)(E,1)/r! |
Ω |
0.21068853117956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490bv1 8190p1 |
Quadratic twists by: -3 13 |