Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bc |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-18220313124864 = -1 · 213 · 39 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3531,-220678] |
[a1,a2,a3,a4,a6] |
Generators |
[2114:33273:8] |
Generators of the group modulo torsion |
j |
-1630532233/6101946 |
j-invariant |
L |
6.8207337722034 |
L(r)(E,1)/r! |
Ω |
0.28344703283752 |
Real period |
R |
6.0158803778903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7038l1 18768t1 |
Quadratic twists by: -4 -3 |