Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676c |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2633918256 = -1 · 24 · 33 · 174 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,-2755] |
[a1,a2,a3,a4,a6] |
Generators |
[285269:866292:12167] |
Generators of the group modulo torsion |
j |
-2579890176/6097033 |
j-invariant |
L |
5.3729418637344 |
L(r)(E,1)/r! |
Ω |
0.58129886185445 |
Real period |
R |
9.2429939508041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44676g1 |
Quadratic twists by: -3 |