Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032be |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
-1512768531732590592 = -1 · 212 · 36 · 477 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283488,-83022156] |
[a1,a2,a3,a4,a6] |
Generators |
[783:13254:1] [858:17496:1] |
Generators of the group modulo torsion |
j |
-57066625/34263 |
j-invariant |
L |
12.045483016837 |
L(r)(E,1)/r! |
Ω |
0.1006875117004 |
Real period |
R |
4.984680992933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6627d1 2256l1 |
Quadratic twists by: -4 -47 |