Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600ck |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
109884211200 = 218 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17488,-895852] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:6:1] |
Generators of the group modulo torsion |
j |
5776556465785/1073088 |
j-invariant |
L |
6.6529593811447 |
L(r)(E,1)/r! |
Ω |
0.41516170824969 |
Real period |
R |
1.335415262885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3450q1 110400fo1 82800dy1 27600cc1 |
Quadratic twists by: -4 8 -3 5 |